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Another vote for Secret Agent.

It is probably my favourite of the era.

I found Hocus Pocus to be rather underwhelming, but it meets your criteria if you avoid the optional objectives,

To be honest, both games boiled down to doing the same thing over and over as the objectives never changed. Saves having to think though.

Definitely stay away from Cosmo's Cosmic Adventure. That required a great deal of practice to complete levels, some of which are very long.
IMHO, the previous recomendations of SteamWorld Dig, Trine and Rayman games are spot on, I'll throw Duck Tales Remastered on the mix. It's not available on gog but it seems the Steam version is DRM free.
Broforce
Steamworld Dig
Trine
Cave Story NX Engine evo (it's free)
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BTsGraveland.341: Greetings.

I'm looking for some easy, simple or casual 2D side scrolling platformers, either modern or classic. I'm not very knowledgeable about the genre, nor am I really interested for myself, but my mother really enjoys Spelunky and Jazz Jackrabbit 2 so I would like to buy her some similar games that are simple and easy to learn. She isn't very skilled at games and has very little twitch reflexes, so the recommendations have to accommodate for that. Cheers.

She also quite likes adventure/hidden object games, so if anyone has any recommendations for games of that genre that aren't too cryptic or hardcore, that would be cool too.
The Trine series. Beautiful game with relaxing yet engaging gameplay. Can't recomend it enugh.
Most recent 2D sidescroller I played was The Last Station.
It's more of an atmospheric adventure than a platformer tbh, but I liked it nonetheless.

Others I like or want to play are Rayman, Aladdin and Earthworm Jim, but it never was my genre and haven't played them much or got very far in them. I just have too many damn games.