X-Men: Days of Future Past
The director's cut of this film is better known as the Rogue Cut. This is because Rogue, Anna Paquin's character, had her entire storyline cut from the theatrical release. Despite being a fan favorite, Rogue got the short end of the stick when cuts came into play. Technically, Rogue's character arc doesn't have a huge impact on the overall story, but fans still wanted to see her shine. The added storyline adds more dimension to the film for sure.