Tl;dr
“Space Adventure Cobra” (dir. Osamu Dezaki, 1982)
“Arcadia of My Youth” (dir. Tomoharu Katsumata, 1982)
“Barefoot Gen” (dir. Mori Masaki, 1983)
“Macross: Do You Remember Love?” (dir. Noboru Ishiguro, 1984)
“Urusei Yatsura 2: Beautiful Dreamer” (dir. Mamoru Oshii, 1984)
“Angel’s Egg” (dir. Mamoru Oshii, 1985)
“Project A-ko” (dir. Katsuhiko Nishijima, 1986)
“Royal Space Force: The Wings of Honnêamise” (dir. Hiroyuki Yamaga, 1986)
“Robot Carnival” (dirs. misc, 1987)
“Patlabor: The Movie” (dir. Mamoru Oshii, 1989)
The article contains brief synopses/descriptions of each movie as well. Movies seem to be ordered chronologically.
“Grave of the Fireflies” “Fist of the Northstar”
Was gonna add “Ninja Scroll” and “Ghost in the Shell” but they were 90s, it turns out.