All games as GotY/Complete/Ultimate/whatever versions:
Borderlands 2 A fast paced, crazy shooter. And quite challenging if you're playing it as a singleplayer (I never touched the multiplayer of this game!). Every class needs a different play style. Hundreds of hours of fun.
Diablo II I don't think I'll have to explain why I'd save this game. It's one of the very few games that's accepted by most gamers as one of the best games of all times.
Final Fantasy VII Because it was my first "HOLY ****" game on the PS1. It's from an era where gaming became my main hobby - and this game was one of the reasons for this! There are Final Fantasies with better stories and better gameplay (gameplay wise I'd love to save FFX with it's monster farm - story and world were way better in IX and XII), but... FFVII just has this special place in my heart.
GTA V I liked it. The story was fun, the gameplay felt great, you have lots of possibilities... It was a bit too easy (I'd say it was pretty hard to FAIL a mission), but I really liked this game.
Master of Orion II Because of the soundtrack. And because it's still one of the best 4X games ;P
S.T.A.L.K.E.R.: Call of Pripyat It's the perfect mix of survival, shooting and scariness. It's a dangerous world where you have to watch your back all the time and where you have to think before you start to shoot. Sometimes you get screwed by the zone and it's dangers, but some other times these dangers save your ass. One of the most immersive games I've ever played.
Vandal Hearts II Another game from the PS1 era that influenced me heavily. It's the reason why I love turn based, tactical combat. And I think it's still looking great:
, [url=http://whosnerd.com/wp-content/uploads/2012/02/igorqueiroz_vandal_hearts_3_02.17.02.jpg]2,
, [url=http://lpix.org/images/Azure_Horizon/f420099a5e68ceae437e7a9c8153586e/PSD3D241.jpg]4 I'd love to be able to play it again :(
Wing Commander IV This game is my favorite space sim EVER. I love the ships, I love the story, I love the flying. I think I can't live without this game.
X3: Terran Conflict I've dumped more than a thousand hours (!!!) in this game already and still start new games to do new things (there are a lot of mods out there). And it's simply a satisfying feeling to jump into a Xenon sector with a carrier full of fighters, two destroyers and a handful of escort frigates to destroy the Xenon ships in one deadly strike - keeping a frigatte loaded with ion canons in another sector, ready to jump in togehter with a M7M, waiting to send out your marines to board this last Xenon Q :D
Zelda II: The Adventure of Link Because I'll never forget how I felt when I first beat this game. I found it pretty hard when I played it as a little boy. Especially those stupid knights with their shields... They knew where you're going to attack them even before you knew it >:( I still hate them! But I loved the side scrolling levels and the battle and magic system (and leveling up attributes with EXP!).
I'd really love to save
TES: Oblivion too (most people who love classic games hate it, but it's my favortie TES game because of some of the sidequests, like Thieve's Guild or the Dark Brotherhood), but I can't find a game that I'd kick out of my list for Oblivion. GTA V was a candidate, but... No, I wouldn't want to kick it out for Oblivion :/