I like alternative timelines or alternative explanations of events, or exploring possible "side" events: things that could feasibly fit into the story or be a cause or effect but weren't given screen-time.
I like fantasy and sci-fi, action, adventure, comedy, slice-of-life, some hurt-comfort, some suspense/thriller, some romance. Depending on my mood, I'll take fluffy, whimsical, straightforward, or serious.
I like some shipping and some sex, depending on the ship. I prefer straight (MF) couples as well as yuri (FF). Polygyny is take it or leave it.
Philosophical introspection is also interesting.
I enjoy historical fiction-real people or real events, retold, reinterpreted, reexplained, or "what-iffed?"
I enjoy strategy or simulation games, particularly Total War-Shogun 2, Rome II, Attila. Also Hearts of Iron IV and Age of Empires II.
Among my favourite authors is Jack Whyte, who wrote the Dream of Eagles cycle about 5th century Britain and the Templar Trilogy. Naturally enough, I also love Lord of the Rings and the Silmarillion.
I love My Little Pony: Friendship is Magic; when the writing and the songs click, it's phenomenal.
I've loved Power Rangers since I was a kid. Though my interest waned in the last decade, I've seen summaries like Linkara's and still like the analysis. I also like the Sentai source material.
I love Warhammer 40,000/40K. I've read Ciaphas Cain, Gaunt's Ghosts, Eisenhorn, Ravenor, Ultramarines, Space Wolves, Soul Drinkers, and Grey Knights, own the majority of the Dark Heresy and Only War RPG sourcebooks, and own several 3rd/4th/5th edition tabletop-game Codices (mostly Imperial Guard and Space Marines).
I enjoyed the Justice League cartoon, as well as the ore mature DCAU animated movies.
Favourite movies: The Princess Bride, Terminator 2 (and 1), Top Gun; Ip Man, Fearless
Webcomics I enjoy: Questionable Content, Sleepless Domain, and Ménage à 3.
Manga: Negima, Karin (Chibi Vampire), Black Cat, Kagetora.
Anime: Evangelion, Coyote Ragtime Show, Afro Samurai, Nerima Daikon Brothers, PaniPoni Dash, (original, reboot, and OVAs)