Shin Godzilla [AKA Godzilla: Resurgence] (2016, dir. Hideaki Anno, Shinji Higuchi)

A giant creature invades Tokyo. Effective reboot of the long-running monster movie franchise. Godzilla 2016 draws on contemporary concerns, offering a satire of governmental bureaucracy alongside good-looking man v monster mayhem.

Colossal (2016, dir. Nacho Vigalondo)

A woman returns home after a breakup and finds she can control a monster. Splendidly quirky black comedy about alcoholism, obsession, and childhood friendships. Oh, and kaiju. Well worth your time.