I am surprised that some of you haven't heard of Yu Yu Hakusho. When i was growing up that stuff was on par with naruto and bleach, if not better. The animes i love are sword art online, legend of legendary heroes, fairy tail, one piece, Full metal alchemist (both original and brotherhood), and many, many more.
Here are some i suggest:
Hataraku Maou-sama!(the demon lord goes to work)
Yahari Ore no Seishun Love Come wa Machigatteiru (my romantic comedy life is wrong like i thought it was)
I have yet to actually watch attack of the titans (aka advancing giants) but i am not missing out since i discovered the manga long before. I definitely recommend it though.
There was mention on another post of princess mononoke. If that one interested you, you can watch the animator's (Hayao Miyazaki)other films:
My Neighbor Totoro
Nausicaä of the Valley of the Wind
Laputa: Castle in the Sky
I found all of these great movies to enjoy and I highly recommend them. There are more, but i cannot remember their names.
These two below are also films by Hayao Miyazaki but i have never watched the myself and therefore cannot give an opinion:
Howl's Moving Castle
Seems like I have typed a bit much here, so i will leave it at that. If you have any time to watch any of the thing i suggested here, get back to me and tell me what you think.