As far as i know there are more paid movie tie ins than free. Some examples: WWZ, Man of Steel, Total Recall, Real Steel (although there's a new one that's free), After Earth, Amazing Spiderman, Dark Knight Rises, Iron Man 2 (as 3 is freemium), Captain America, Thor, etc.
The only ones free are usually either runners or town builders. even card collecting games.
Exact-Psience My 2014 Top 10 Games of the Year: Monster Hunter Freedom Unite, Hearthstone, VVVVVV, Battleheart Legacy, Wayward Souls, Bug Heroes 2, Powerpuff Girls Defenders of Townsville, Deep Loot, Monument Valley, Bioshock Honorable Mentions: Traps N Gemstones, Bardbarian, Goblin Sword