Like others have said NFL 2K, but I'd take anything at this point from another company besides EA when it comes to football (NFL Gameday, NFL Fever, NFL Quarterback Club, any damn thing).
College Hoops 2K
Syphon Filter
I still have the words
"you can't run forever Logan", echoing in my head from Girdeux; can't tell you how many times that dude bodied me on the hardest difficulty.
Manhunt
Now this game was a bit fukked up I'm not going to lie, but everybody that was getting it in this game, deserved it (i.e. skinheads, pedos, and other deranged people)
. I thought the concept of this game was brilliant (very "Punisher-esque") and it could've evolved with time to cut down on how repetitive it could be.
Fighting Force
This was the first game I played on the PS1 as a kid via demo, so I've always held this game in high regard.
Advent Rising
This game had some noticeable glitches, but I still had a lot of fun with it. The amount of powers that you could acquire was impressive. Had an epic soundtrack too that sounded like a big budgeted movie score.
Jade Empire
Edit a few more: