The most motivational or inspirational films would have to be (oh boy I didn't expect a mega-list):

The Pursuit of Happyness
Rocky
Life Is Beautiful (La Vita è Bella)
Pay It Forward
Forrest Gump
Goodwill Hunting
Dead Poets Society
The Blind Side
The Theory of Everything
The Shawshank Redemption
One Flew Over the Cuckoo's Nest
Rush
Schindler's List
Slumdog Millionaire
To Kill A Mockingbird
Remember The Titans
42
Freedom Writers
A Beautiful Mind
Braveheart
The Lord of the Rings
Fight Club
V for Vendetta
Hacksaw Ridge
Interstellar
Warrior
Southpaw
Inception
12 Angry Men
In the Name of the Father
Shutter Island
Up
Cinderella Man
Gladiator
Patch Adams
The Green Mile
Million Dollar Baby
A Few Good Men
Law Abiding Citizen
Saving Private Ryan
Glory
Chariots of Fire
Hotel Rwanda
The Mighty Ducks
The Killing Fields
Amazing Grace