I like many movies of this decade, but here are some films from the 2010s that I loved and TRULY consider to be (new) favorites:
Toy Story 3 (2010)
Black Swan (2010)
Submarine (2010)
The Artist (2011)
Midnight in Paris (2011)
The Descendants (2011)
Rango (2011)
From Up On Poppy Hill (2011)
The Master (2012)
Django Unchained (2012)
Moonrise Kingdom (2012)
The Wolf of Wall Street (2013)
Gravity (2013)
The Great Beauty (2013)
American Hustle (2013)
Escape from Tomorrow (2013)
The Grand Budapest Hotel (2014)
The ones in italic are in my top 100 favorite films of all time. Two of them really pop out for me, though:
Tarantino's
Django Unchained was an instant favorite after I watched it for the first time and still holds up well after a few rewatches. It's entertaining as hell and also has some of Tarantino's best dialogues and stylized moments in it. I must've mentioned it a billion times already on this forum, but I also think that DiCaprio's character, Calvin Candie, is one of the most memorable movie villains in quite some time.
Paul Thomas Anderson's
The Master, I really liked after the first time I saw it, but it's probably the film of the 2010s that I've rewatched the most and it only gets better and better and it has now reached a point that I consider it the best film of the decade so far (from what I've seen, naturally). It's remarkably executed and explores its themes in a fantastic and extremely effective way. On top of that it also features one of my favorite 'bonds' between two characters ever. Phoenix' Freddie Quell and Hoffman's Lancaster Dodd have unbelievable chemistry together.