The 80's had Voltron and Robotech. And if you had parents that made you watch Christian TV, then you know about Superbook and Flying House too.
The 90's had Toonami, which started off playing reruns of shows like Voltron and G-Force, among others. I followed Ronin Warriors because the characters looked like Voltron's main characters, and loved what the show was.
Speaking on "Japanimation", anyone from Chicago area in the mid 90s remember channel 62 on the weekends having "Japananimation Station" or whatever it was called? It was there on live TV that I watched Akira, Vampire Hunter D, Barefoot Gen, 8 Man After, Crying Freeman (with the unblurred nudity), and a lot of other shows all on that show/channel.