Visions of Escaflowne was the only anime i have watched for more than one episode (more like as many episodes as i could find) others i may find playing on tv and watch an episode then never watch it again because it was too confusing to try and come into or just annoyed me for the first couple seconds so i turned it off (this happened with Bleach, i need to give it another chance sometime...)
Alakame ga Kill Kill la Kill Fullmetal Alchemist: Brotherhood (Also seen the original no where near as good) Tokyo Ghoul Attack on Titan Samurai Champloo Gurren Lagann Fate/Stay Unlimited Blade Works Fate/Zero Cowboy Bebop ALDNOAH.ZERO Steins;Gate Tower of Druaga Broken Blade Robotics;Notes Eden of the East Berserk Durarara Haikyuu! ARGEVOLLEN Captain Earth Gargantia on the Verdurous Planet Kuruko's Basketball Free! FLCL Time of Eve Strike the Blood Black Bullet Yona of the Dawn Log Horizon (Like SAO) The Irregular at Magic High School Arpeggio of Blue Steel Knights of Sidonia BTOOM Soul Eater Majestiv Prince Your Lie in April Nabari no Ou Sound! Euphonium World Trigger Is it Wrong to Try to Pick Up Girls In a Dungeon? Sword Art Online Rokka Braves of the Six Flowers ... uhhh
There are a bunch others but from memory those are the ones I can remember.
Film wise i've seen most of the stuff by Hayoa Miyazaki Films related to anime such as the FMA ones or Blue Exorcist, I'm making my way through the Berserk films as I've only seen two. Origin: Spirits of the Past was really good and unfortunately I don't remember the names or the others =/