Here is a great movie that hasn't been mentioned. "Everybody's All-American". It's set in the late 50's or early 60's and is about a tailback for LSU and then he goes on to the pros, I think the Lions. One of my favorite sports movies period and easily my favorite football movie! I suggest getting this, you won't be disappointed.
On a separate topic relating to sports movies, I appeared in the move "Winning" in 1969 starring Paul Newman!! I wish I could leave it at that and pretend to be a movie star but the truth is that a couple of my cousins and I got paid to sit in the turn one grandstand at Indy for about three hours and we cheered when they told us to.