Being an Italian kid in the '80s meant watching hours of anime for free. There was a magazine TV show called Junior TV that aired on local TV channels, and it aired 8 hours of animation a day (it was the precursor of modern thematic channels). The 4 hours in the afternoon presented new material, while the 4 hours in the morning were reruns of the episodes aired during the afternoon of the previous day. Junior TV aired a very eclectic collection of anime, from children stuff (Doctor Slump, Doraemon) to science-fiction/adventure (Hokuto no Ken, Star Blazers) and a few sentai (Ultraman, Ultralion, Tiger Seven, I-Zenborg) to horror (Bem the Human Monster), to comedy (Uruseiyatsura). I also remeber that I watched a lot of the most important Tatsunoko anime on that channel (four seasons of the Time Bokan, Uchu no Kishi Tekkaman, Hurricane Polymer, Casshern, Gatchaman, and a little creepy show called Paul no Mirakuru Daisakusen, that was meant to be an adventure show for children, but boy it was disturbing).
All of this to say that Japanese animation has influenced a lot the adults who watched it in the '80s. I have friends who are over 40 who watch these old anime with their children now. And every now and then my mother, who is 70, asks me to find for her this or that show (her last request has been Bannertail) because she used to watch those with us and she became nostalgic about it. The other day my sister wrote me that she and mom watched reruns of Cats Eye all Sunday morning. Only Disney animation had such a deep impact on the imagination of such a great number of children.