I didn't watch too many new films last year but these ones stick out for me:
The Great Beauty (homage to La Dolce Vita)
Inside Llewyn Davis
Dallas Buyer's Club
Also forgot to say, but I enjoyed Le Mepris much much more than Breathless. Thanks sipang for that rec.
EDIT: You will like Drug Wars. I'm biased though because I love Johnnie To's films.