I'm a huge fan of series like Super Dimension Fortress Macross (this one's a little rough, but I love its themes and messages), Macross: Do You Remember Love? (My FAVORITE movie), and Macross Plus (My FAVORITE FAVORITE FAVORITE movie). Ghost in the Shell is another favorite of mine. I loved the protagonist's arc revolving around her wanting to be more human and her getting the opportunity to be much more.
Jojo's Bizarre Adventure HAS to be my all time favorite series. Probably the greatest series of all time (don't @ me). Dragon Quest: Our Story was perfect, although people may have an issue with the ending which I don't blame? But at the same time, I understand completely where the writers were coming from and I respect it nonetheless. It has a LEGO Movie vibe to it. The Gundam movie trilogy is so great as well. I'd go as far as calling it the equivalent to Japan's Star Wars.
Uhhh... I got more...
Castle of Cagliostro is the best Ghibli movie imo. Assassination Classroom, Death Note, The Disastorous Life of Saiki K. (The Office of Japan). First two seasons of Fist of the North Star (I love how unapologetically old fashioned it is). Finally, Getter Robo.