Speculation concerning the 2017 edition has already begun in the comments to the list section over at the 1001 Movies Wiki.
Sure for the 2016 version:
La La Land
Not really sure, but I wish they enter:
Hunt for the Wilderpeople
Frontrunners: Moonlight, La La Land, Silence
Contenders: Elle, Manchester by the Sea, Arrival, Zootopia, Hacksaw Ridge, Lion
Long Shot: Kubo and the Two Strings, Sully, Hell or High Water, Deadpool
Do you agree or not? Continue the guesswork here:
Addendum: Comment #3
Possible Entries: La La Land, American Honey, Silence, Moonlight, Arrival, Toni Erdmann, The Handmaiden, The Salesman, Manchester By The Sea, Paterson, Hell or High Water, Zootopia, Jackie.