My VERY first anime was 'Speed Racer,' but it was dubbed so I didn't know it was Japanese. Heck I was like 4 or 5 so I probably didn't even know what 'Japan' was.
Then in college I was in an SF club and some of the members were also into 'Japanimation' and I wasn't excited about it at the time, just kinda knew it was there.
They were all into 'Bubblegum Crisis' and 'Bubblegum Crash' and Robotech, etc. I tried a game of Battletech for a bit, and some of them moved on to Shadowrun and Traveller.
I did some hang-gliding in my college days and I liked Nausicaa's flyer in "Warrier of the Winds." I also enjoyed 'Lensman' and 'Kiki's delivery Service.'
The 'Lensman' anime prompted me to read the Lensman books (E.E. 'Doc' Smith) and some of his other works, then I got into Heinlein, Gordon R. Dickenson, David Drake, and David Weber, and other hard/military SF and alternative history stuff.
A few years after that I was working in Japan and was renting anime VHS tapes from the corner store - to help learn the language, and I was watching 'Record of Lodoss Wars'
First Manga that I really 'read' was 'Shikabane Hime' (Corpse Princess) which I liked because ALL the kanji had furigana on them ALL the time - so you could look them up in a Word-Tank or other digital kanji aide. I loved the Todoroki arc, the Makina/Hokutou thing was entertaining while sometimes a little bizarre, and the ending was expectedly incomplete but still somewhat satisfying.
Many manga have furigana for a bit, and then turn them off, expecting you to have 'learned' the characters and retained them. This is OK until you want to look at Volume 5 of something after a few years, and if you forgot those kanji it's a LOT harder to get in there and pick it apart.