I used to love playing NCAA Football on Xbox. I'd still play it if my Xbox hadn't passed away after many, many years of faithful service.
Creating a school, recruiting, running the option with Pat White and Steve Slaton, trying to head for the pylon on breakaway touchdowns and jumping right before the end zone so the player would do a cool dive -- I freakin' loved that game. My friends and I put our thumbs through a gauntlet in college.
Something the game added over time that I was particularly fond of was the camera shake feature, where the screen would wiggle a bit when you were on defense and the crowd was jacked up.