*Note: While one or more of these may come up as being from 2013 on IMDB, my criteria for release year is when the movie was released in North American theaters, not film festivals or foreign countries.
10. Edge of Tomorrow It's too bad this movie bombed - either from people boycotting Tom Cruise, the title and advertising not doing the movie justice, or both - because it really is a great film. How can a sci-fi action version of Groundhog Day not be loads of fun?
9. X-Men: Days of Future Past I've enjoyed all of the X-Men movies, but an epic story that sweeps across two time periods and makes good use of a very large cast raised this one to another level.
8. Begin Again
Not as good as Once, from the same director, but that's not an easy movie to top anyway. Begin Again is still a film with charm and magic that makes me smile a lot when I watch it.
7. Coherence
A simple dinner party with friends turns into a night of chaos, confusion, and danger when a passing comet creates a surreal phenomenon that has the group panicking. I love movies like this where characters are trying to figure out what to do in a weird, unprecedented situation. I don't want to spoil any more, but this is one that messes with your head and gives you things to think about, which makes it a lot of fun for me. 
6. Mommy
A heart-breaking French-Canadian film about a mother dealing with the burden of her delinquent son, the crass characters were off-putting at first but eventually grew on me. Not only does this movie make brilliant use of its aspect ratio as a storytelling device, but it also contains the best use of "Wonderwall" since Charlie sang it on Lost.
5. Boyhood Putting the groundbreaking gimmick aside, I enjoyed this film because it offers the complete experience of growing up. Obviously there are already plenty of coming-of-age movies out there, but they tend to be limited to one age, or brief snippets of a few ages, but Boyhood gives us 12 consecutive years and we can see some familiarity in all of them.
4. Housebound This horror-comedy from New Zealand is about a young woman confined to house arrest at her parents' house...which is haunted! This one is an absolute blast, subverting the haunted house genre and going to all kinds of unexpected places.
