Please note these are my ranking only of films I've seen. Any films you think should be on this list may be due to the fact I've yet to watch them. I welcome any recommendations of films which should be included.
2. Shall We Dance?
3. Courage Under Fire
4. Jerry Maguire
5. Hard Eight
Honorable Mention - 2 Days in the Valley, Beautiful Girls, Big Night, Bottle Rocket, Citizen Ruth, Ed's Next Move, The English Patient, Executive Decision, The Ghost and the Darkness, Irma Vep, The King of Masks, The Late Shift, Lone Star, Mission: Impossible, The People vs. Larry Flint, The Rock, Romeo + Juliet, Scream, Sling Blade, Star Trek: First Contact, Tai Chi 2 (aka Tai Chi Boxer), Tin Cup, Waiting for Guffman, When the Cat's Away..., When We Were Kings
Noteworthy films I haven't seen yet - L'Appartement, The Bandit, Bastard Out of Carolina, Beautiful Thing, Brassed Off!, Breaking the Waves, Comrades: A Love Story, The Crucible, Drifting Clouds, Emma, Hamlet, Hearts and Minds, The Hunchback of Notre Dame, Kolya, Lilies, Looking for Richard, Microcosmos, Paradise Lost: The Child Murders at Robin Hood Hills, Primal Fear, La Promesse, Ponette, Secrets and Lies, Sleepers, Thesis, A Time to Kill, Walking and Talking
Films I think are overrated: The Birdcage, Everyone Says I Love You, Trainspotting