I haven't read any manga, but I like a few anime shows including-
Shirokuma Cafe
Puella Magi Madoka Magica
Neon Genesis Evangelion
Dangan Ronpa
Attack on Titan
Free!
Akira
I only started watching anime earlier this year so I haven't seen too many. I love all the ones I listed, and Dangan Ronpa and Shirokuma Cafe are definitely my favorites
I also love Studio Ghibli's films, I've seen all but The Wind Rises, which hasn't been released in the U.S. yet. Howl's Moving Castle, Grave of the Fireflies, spirited Away, and Castle in the Sky are my favorites of Ghibli
When I was little I loved Hamtaro, Sailor Moon, and Pokemon (I still like the games and movies and Pokemon in general, but don't care for the anime) but I haven't really seen them since. I have a pretty big collection of Pokemon stuff, and a ton of Hamtaro figurines and buildings and other toys