Oh gosh do I have to pick just a few x)
I grew up reading YuYu Hakusho manga and watching the anime as well. It was one of the only ones I was gifted, so I have the complete series of the manga which I read and reread growing up. I was so excited to see them make a RL series - even though I will admit it was a bit condensed and odd in place, it was relatively good
My anime tastes are all over the place with some of my favorites being Hell Girl, death note, sailor moon, SAO, AOT, Hellsing. But like with asian dramas my favorites are constantly changing with new ones I watch. I recently been watching Record of Ragnarok and honestly it has become one of my new favorites lol.
Mangas I used to get as many of Shonen Jump magazines as I could get growing up and I would devour any and all mangas in there since my local library didn't have many mangas to choose from (small town issues) but I would save up for shonen jump magazines and get one when we visited bigger cities. Many of my favorites were similar to my anime tastes like deathnote, bleach, Nana, tokyo mew mew. But once I got older I loved Junji Ito Manga as one of my favorites.
Being an adult means I can pick and choose what I want to read, and honestly it can be hard to choose. I just read the whole Sweat and Soap Manga after I watch the RL series xD It was quite the weird mix but thats why I love them, since they push the boundaries in alot of ways.
I also love all of the Ghibli films, which I know is common for most of us who are avid anime fans since ghibli, specifically Hayao Miyozaki influenced films, are household names when you speak about some of the best animes - I mean why else would they have Ghibli Land almost set to be opened to the masses soon.
Sorry for such a long response lol, like I said in my intro I can go on and on talking peoples ears off on these things.