Many thanks to everyone for all the contributions!
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Old intro moved, I might have to make an expernal Google sheet because I have not claimed more posts under the first one and I have run out of space here. Note that apparently some first person adventures might be on Big Fish in a different "simplified" form, missing puzzles, missing hotspots, missing QTE.
Games that are also on GOG. You could try them on Big Fish as a demo (also demos are available in many cases, not sure if always now) and get the DRM free version here if you wish, or just be content with the Big Fish gift.

Agatha Christie: The ABC Murders
Avernum 4 (on GOG included in Avernum: The Complete Saga).
Beholder
Book of Demons
Braveland Pirate
Braveland Wizzard
Bridge Constructor: Medieval
Dracula: Love Kills
Dracula: Origins
Enigmatis: The Ghosts of Maple Creek
Enigmatis 2: The Mists of Ravenwood
Enigmatis 3: The Shadow of Karkhala
Epistory: Typing Chronicles
Grim Legends: The Forsaken Bride
Grim Legends 2: Song of the Dark Swan
Grim Legends 3: The Dark City
Journey to the Center of the Earth
My Brother Rabbit
Nancy Drew - Curse of Blackmoor Manor
Nightmares from the Deep: The Cursed Heart
Nightmares from the Deep 2: The Siren's Call
Nightmares from the Deep 3: Davy Jones
Return to Mysterious Island
Sherlock Holmes and The Hound of The Baskervilles (HOG)
Sherlock Holmes - The Secret of the Silver Earring (Frogwares)
Sherlock Holmes VS Jack the Ripper (Frogwares)
Syberia (split in 2 parts on Big Fish)
The Blackwell Legacy - might be a different edition
The Last Express
The Inner World
The Tiny Bang Story
Townsmen: a Kingdom Rebuilt
True Fear: Forsaken Souls (on GOG it's split in 2 parts)

Games not on GOG but "different" (original art, proper point and click games, action games, and so on):

A Magnetic Adventure - physics-based puzzle
altShift - action puzzle with minimalistic graphics
Astral Towers - card based strategy game
Aveyond - RPG series
After 1 & 2,
-Aveyond 3: Orbs of Magic:
Chapter 1: The Lord of Twilight
Chapter 2: Gates of Night
Chapter 3: The Lost Orb
Chapter 4: The Darkthrop Prophecy
-Aveyond 4: Shadow of the Mist
beTrapped - casual isometric adventure written by Jane Jensen
Brightstone Mysteries: Paranormal Hotel - point and click adventure set in France with a female detective, remake with better graphics of the older Hotel from 2010, also available. From the gameplay I've seen, they are first person, no dub. Both have hot-spots. The series doesn't seem to have continued.
The Delaware St. John series - point and click
Delaware St. John: Volume 1: The Curse of Midnight Manor
Delaware St. John: Volume 2: The Town with No Name
Delaware St. John: Volume 3: The Seacliff Tragedy
Deponia: The Puzzle - just a puzzle game but Deponia themed
Doodle God - puzzle
Drawn trilogy - adventures with original, polished graphics
Echoes of Aetheria - old school JRPG
Edna & Harvey: The Puzzle - just a puzzle game but with Edna & Harvey...
Fetch - point and click
Fiber Twig / FIber Twig 2 - pipe mania puzzles
Fire - poit and click adventure
Hypnosis - point and click with mini games, mostly positive Steam reviews
Kaptain Brawe: A Brawe New World - point and click with mostly positive on Steam and tooney graphics - English edition is split in two parts, from the Italian and German store I could see it's not divided
Karma (Karma Incarnation 1 on Steam) - point and click with some HOG and puzzles, and fancy graphics
The Legend of Crystal Valley - point and click first person/third person mix? 2009
Montgomery Fox and the Case Of The Diamond Necklace - childish and cute
NiBiRu: Age of Secrets - 2005 adventure from the same devs of the later the Black Mirror and using the same engine
Northmark: Hour of the Wolf - short card battles game with a story
Nostradamus: The Last Prophecy - first person adventure 2014 Microids, mostly positive reviews on Steam
Relics: Dark Hours - same devs od Delaware St. John series, FMV point and click
Ricochet - Infinity / Ricochet Recharged / Ricochet Lost Worlds - modern looking Breakout-likes arcades, well received
The Riddle of the Sphinx - Myst-like
Rhiannon: Curse of the Four Branches
Skyborn - casual JRPG made with RPG Maker Engine, good Steam reviews
tiny & Tall: Gleipnir - point and click
The Omega Stone: Riddle of the Sphinx II - Myst-like
The Sinking Island - from the creator of Syberia

Cryo adventure games not on GOG:
Egypt 2: The Heliopolis Prophecy
Egypt III: The Fate of Ramses
The Secret of the Nautilus
Atlantis Evolution - 2004, not by Cryo but basically Atlantis 4

Frogware adventures not on GOG:
Sherlock Holmes: The Awakened (GOG has the Remastered version)
Sherlock Holmes VS Arsene Lupin (GOG has the remastered edition called "Sherlock Holmes: Nemesis - Remastered")

Kheops adventure games not on GOG:
Cleopatra: A Queen's Destiny (AKA Cleopatra: Riddle of the Tomb) - 2007
Echo: Secrets of the Lost Cavern - 2004 Kheops
Return to Mysterious Island 2: Mina's Fate
Safecracker - 2006
The Secrets of Da Vinci

Nancy Drew adventures non on GOG
Nancy Drew - Danger by Design
Nancy Drew - Danger on Deception Island
Nancy Drew - Last Train to Blue Moon Canyon
Nancy Drew - Legend of the Crystal Skull
Nancy Drew - Secret Of The Old Clock
Nancy Drew: Alibi in Ashes
Nancy Drew: Ghost Dogs of Moon Lake
Nancy Drew: Ghost of Thornton Hall
Nancy Drew: Labyrinth of Lies
Nancy Drew: Message in a Haunted Mansion
Nancy Drew: Ransom of the Seven Ships
Nancy Drew: Sea of Darkness
Nancy Drew: Secret of Shadow Ranch
Nancy Drew: Secret of the Scarlet Hand
Nancy Drew: Secrets Can Kill Remastered
Nancy Drew: Shadow at the Water's Edge
Nancy Drew: The Captive Curse
Nancy Drew: The Creature of Kapu Cave
Nancy Drew: The Deadly Device
Nancy Drew: The Final Scene
Nancy Drew: The Haunted Carousel
Nancy Drew: The Haunting of Castle Malloy
Nancy Drew: The Phantom of Venice
Nancy Drew: The Shattered Medallion
Nancy Drew: The Silent Spy
Nancy Drew: The Trail of the Twister
Nancy Drew: The White Wolf of Icicle Creek
Nancy Drew: Tomb of the Lost Queen
Nancy Drew: Treasure in a Royal Tower
Nancy Drew: Warnings at Waverly Academy
Nancy Drew Dossier: Lights, Camera, Curses
Nancy Drew Dossier: Resorting to Danger
(the last two are more casual than the rest, hence the different title)

The Art of Murder series - point and click with HOG elements to my understanding. Some have nicer reviews while others negative.
Art of Murder: FBI Confidential – (2008, Windows)
Art of Murder: Hunt for the Puppeteer – (2009, Windows)
Art of Murder: The Secret Files – (2009, Windows)
Art of Murder: Cards of Destiny – (2010, Windows)
Art of Murder: Deadly Secrets – (2011, Windows)

hidden object games with Lovecraftian elements:

Mystery Stories: Mountains of Madness - https://www.bigfishgames.com/games/6760/mystery-stories-mountains-madness/
Dark Mysteries: The Soul Keeper - https://www.bigfishgames.com/games/7511/dark-mysteries-the-soul-keeper-ce/
Haunted Hotel: Charles Dexter Ward - https://www.bigfishgames.com/games/7213/haunted-hotel-charles-dexter-ward-ce/
Twisted Lands: Shadow Town - https://www.bigfishgames.com/games/5990/twisted-lands-shadow-town-collectors-edition/

hidden object games with a steampunk theme:

Clockwork Tales: Of Glass and Ink - https://www.bigfishgames.com/games/7688/clockwork-tales-glass-and-ink-ce/?pc
Skyland: Heart of the Mountain - https://www.bigfishgames.com/download-games/39609/skyland-heart-of-the-mountain-ce/index.html
Fantastic Creations: House of Brass - https://www.bigfishgames.com/games/7057/fantastic-creations-house-of-brass-ce/

Recommened casual, more typically "bigfishy" games:
Adelantado Trilogy - casual strategy
The Adventures of Mary Ann: Lucky Pirates (Match-3 battles)
Be a King - strategy
Cave Quest and Cave Quest 2 - hybrid HOG adventure and match3
Caves and Castles: Underworld - find your way in a maze and solve match3 to destroy obstacles
Heroes of Hellas 2: Olympia (Match-3 with interesting variations)
Jewels of Cleopatra - recommended match3 maze
Mall-a-Palooza - recommended casual construction sim
Mahjongg Dimensions Deluxe (3D Mahjongg, quite unique)
Marble Duel - turned based match 3 resembling Zuma
Musaic Box - HOG with music puzzles
Risen Dragons - strategy with mini-games
Puzzle Quest, Match-3 battles with RPG elements)
Townsmen: A kingdom rebuilt - casual strategy
Virtual Villagers - life sims


Looking for suggestions from the community, and going to expand with all titles of trilogies and links.

Some recomended games not mentioned:

altSHIFT
Adelantado Trilogy (Book 1-3)
Be a King (1 and 2)
Beholder
BeTrapped
Braveland Pirate / Braveland Wizzard
Caves and Castles: Underworld
Dreamwoods 2
Echoes of Aetheria
Finders
Fiber Twig / FIber Twig 2
Gunspell
Jewels of Cleopatra
A Magnetic Adventure
Mall-a-Palooza
Marble duel
NiBiRu: Age of Secrets
Northmark: Hour of the Wolf
Risen Dragons
Ricochet - Infinity / Ricochet Recharged / Ricochet Lost Worlds
Skyborn
Townsmen: A kingdom rebuilt
Virtual Villagers (series)

Thanks! Many good findings!

I've occasionally seen games in the non-gog giveaway that are HOGs or the like, and imagine they'd be the kind of thing to use the BF codes on. However, the reviews on Steam and elsewhere generally range from bad games to horrible making them seem, at least in my mind, of the same low caliber as itch and indiegala games. However I've yet to play any of the BF games I've claimed, so I'm speaking in ignorance here.

I think there is an option to launch the BigFish games without the launcher.... I'm not sure, but I think I saw it mentioned somewhere.

You can find amazing stuff on itch.io, the problem is to know it exists in that sea of students and amatuers projects. Itch.io problem is the lack of curation, Big Fish problem is the repetitiveness of most of their games. That's why I'm making a list of different kind of games available on Big Fish that are different from the usual Big Fish HOG or very excellent ones. As you see the first part includes games from the GOG catalogue. You can get all of these for free with a coupon if you are interested, otherwise you can just not mind about it.

I think that the option you mean is to automatically close the launcher after the game has been launched. All games have DRM and require the client to install and start.

That sounds about right. That's why I'm glad you made this list!

You forgot overly high prices. ;)

I mean I love their games, but dang....some of their games should be permanently half off at this point.
(20 bucks for a very old CE of some HOG is insane, imo)

I just wish Artifex Mundi would bring the rest of their HOGs here, somehow I just love those games, playing them totally tired after a long day of work and stress with all the hint system on full power, when my concentration fails me playing anything "serious".
@GOG: Bringing them in batches of 10 or so would be fine ;-)

I don't know if it's a good game or not, but Hotel is a point and click game. They also have a free walkthrough available (unlike those hintbooks that they have for some games which cost as much as games).

http://www.bigfishgames.com/games/5716/hotel/

Right, and as for me, I'm just taking the freebies, included True Fear that is overpriced here as well. ;) on the other hand, they probably have a better customer's care.
That would be nice, but I would like a serious discount.

it's a poorly made game of 2010, good thing is that it has hotsports. It has been remade in 2013 as Brightstone Mysteries: Paranormal Hotel with new better graphics and ported to Switch. It could be enjoyable for some, it has few mixed reviews.

Well freebies ARE nice. :)

That said, I wish more stores sold more of them & gave BigFish's store some more competition, so we could maybe see some better prices for some games.

Would just mention that the Ricochet games are not just "modern looking Breakout-likes", but are the best breakout games ever made. They are the only breakout games better than Arkanoid. Each of them have a huge amount of content, the levels are very diverse and there are interesting power-ups. Well worth it even to buy them.

The sequence of games is Ricochet Lost Worlds ---> Ricochet Lost Worlds: Recharged ---> Ricochet: Infinity. There is no story, though. Each game has a level editor, but Infinity has the most complete / advanced editor, as well as a level downloader (for the other two, you need to manually download user-created levels)