The first was Disney's "Frozen".
A typical Disney Pixar-style animated fairly tale. Cute, funny on both a kid and adult level, and a happily-ever-after ending. Yeah, I know that people with young kids have already been subjected to this movie about 400 times already, but it was new to us, and we liked it.
The second was "Inside Llewyn Davis".
This one was written and directed by the Coen Brothers, which makes it a movie that I would want to see, and it was a favorite of many hoity-toity movie critics who moaned a lot about it being snubbed when the Academy Award Nominations came out. My opinion? It had it's moments, but the Academy didn't make a mistake by not inviting it to it's Awards party.
If you want to see a movie about the folk music scene in the early 1960's, see Christopher Guest's "A Mighty Wind" instead of this one.