That is a good question... I play a really large variety of games, generally builder ones, open world, RPG, and Book like games.
Craft the World
Starbound (Not in a while due to awaiting certain things)
Don't starve together
Visual Novels (As long as it has a story of some kind, I just enjoy reading a lot; and it fills those time I use to read a lot of books in the past)
Total Annihilation (The original and its' expansion)
Star Wars Galactic Battlegrounds
Alpha Centauri (The original)
Sim City 4 Deluxe (with many of the user created content. Although haven't in a while due to having so many games)
The Sims 2
Elona Plus (A nice little open world RPG that will make you adventure seem death defying at times and wonder why me at times. Love this one.)
FTL (For those random space adventures that make you want to scream, what did I do wrong this time)
Dungeon Defenders II
RPG Maker games (Anything with a story that is least in my interest.)
Most 4x Strategy games and certain other city/kingdom management type ones. Mainly the older ones like mentioned above, but have my eyes on some of the newer ones.
Of course Terra Tech; which should be obvious. *rolls eyes*
Soon hopefully to get On PC:
Namely the first one and last on that, since I have Skyrim on the console; and is my hesitation as to why I not get it.
Console (xbox 360, Game cube, DS, PS2, and Game boy color)
Borderlands (any of the 3, but recent the pre-sequal on 360)
World of Tanks (360)
RPG games in general (SquareEnix mostly alongside lot of the Atlas ones)
F-Zero (game cube)
Harvest moon (PS2 & Gameboy Color) Aiming to get The 2 DS version ones.
Final Fantasy Tactics (DS)
Have lots more on PS2 and Earlier systems (Just not got to them in a while)
I think I just Have a ton of variety in games. So much in fact it is tricky to figure out which I am in the mood for at times. That is usually when I go to watching things from you tube or the movies and series that I own, as well other video services out there.
I have my eyes on many titles and play it seems to many games, but what can you expect when it is the form of entertainment I have had my entire life. lol
Mostly recently it is TT, gnomoria, trove, minecraft, and a few miscellaneous ones...
Just started the new Digimon Story Cyber Sleuth: Hackers Memory. And despite the overly long name, its just as good as the previous one.
These are some of the few games ill buy day one, as a sign of support and because im a huge digimon fan/digimon games have been killing it the last few years.
Also try to start Gravity Rush 2 since it finally hit the sales with a hefty cut in price. Should be playing Xenoblade 2Slotty Vegas Casino but I'm having too much fun with my new surround sound kit, friggin love it (when I finally got it working after almost two days of tinkering with it).
I like TerraTech, of course. I also like to play Kerbal Space Program a lot. Those are essentially the only two games I play on my laptop right now, but I also really like Terraria, Starbound and RimWorld, to name a few.
I have a Nintendo Switch and I'm absolutely in love with Legend of Zelda: Breath of the Wild. I still don't have Super Mario Odyssey so I should really get that too, since I'm a big Mario fan and I have tons of Mario games.
EvE Online (But I stopped playing because nobody wants to play with me and it's boring being alone in space)
The Powder Toy (I also play the modded multiplayer version)
Steambirds and Steambirds: Survival
Club Penguin (Rest in peace)
FTL: Faster Than Light
World of Tanks
The Game of Life
And some others which I can't think of at the moment.
I play Minecraft, TT, FOE, AQW, and a few metric tons of web games on and off. And that's the major ones....
As for mobile games....
Minecraft PE, ummmmmmm....... Ravensword 2, ... ... ... ... ... ... ... ... ... ... ... Ski Safari... Oh, and Plague Inc.
I also currently have a bit of an addiction to Solitaire. Yay.
That's about all I have(currently), and listing the metric tons of web games would take a few billion+ characters, and at least 2.684 weeks, with the 84 repeating.