The Paper Chase definitely.
Good Will Hunting not so much, since he only hangs around the periphery of MIT. A Beautiful Mind slightly more. (The book much more.)
Real Genius, though set at Cal Tech, also does an excellent job in showing much of the MIT experience. Almost Ivy League.
His girlfriend Skylar (Minnie Driver) attended Harvard.
Was Risley not around when you were there? Urp!
The ghostbusters start the movie working at Columbia but are fired and start their own ghost busting business.