In no particular order:
Advance Wars DS: I feel like this is the most ‘complete’ version of the game with tons of maps, big campaign, all the COs and even a fun side mode. One of the best Turn-Based Strategy games I feel.
Bayonetta: I’m not a big fan of hack and slash action games, so when I say this game is amazing and nails it, I mean it. It helps that the story and characters are fun and bombastic, but the combat is damn well spot-on.
Okami: Beautiful, and beautifully engaging. Zelda for if you don’t own a Nintendo console. speaking of which:
Zelda, Wind Waker: I’ll just pick one, Wind Waker is really great and I enjoyed the freedom of sailing about, though this could easily be almost any other Zelda title.
The World Ends With You (DS): Awesome sound track and an interesting story, especially for a younger me. The DS version did something really unique with it’s combat where you have to simultaneously play 2 games at once, and it felt fantastic to get good at.
Hollow Knight: Not sure if recency bias, but I’ve been playing this game recently and it’s gorgeous & atmospheric in it’s world, but sharp and challenging in it’s mechanics.
Bioshock: great story and incredible atmosphere, first time I realised that stories in games could actually weave in the interactive medium.
Portal: short and sweet, we all know it’s great.
This isn’t an exhaustive list of my favorite games, but it’s the top ones that came to mind right first. I could easily add stuff like metroid prime, pikmin, fire emblem, half life, shadow of the colossus, persona, mass effect, limbo, monkey island, mario 64, pokemon… yeah I could go on all day.