Thank you all. I've added everyone's suggestions to the list.
I didn't really delete any games from the list besides sports games, which I generally dislike, except for a couple that I played as a kid that have personal nostalgic value to me (MLB and Tennis for NES, and NBA Jam for SNES/Genesis)
I also added PS1, GBA, and DS games using recommendations from gamefaqs top 100s lists. I alphabetized every list and put them in spoilers to make each section and the thread easier to navigate.
I might have a few titles that some would consider filler, but I'm afraid to delete too many games and wipe off a hidden gem that I might want to try later and then regret not having.
If anyone wants to recommend a game to add to the list or sees one that you believe really doesn't belong on a 'best of' list, I'm open to your suggestions. Thanks.