
Whatever you do, don't do an Ebay search for "Unico" without going throuhg the advanced search and selecting to only see results found in the DVD & Movies category. Elsewise, YOU WILL REGRET THE RESULTS YOU FIND!
Oh, and the reason why it looks familiar Thoul is that it's a Sanrio product tie-in animation. More than likely it either ran on broadcast TV or was in theaters at some point back in the mid 80's. According to an Ebay listing the US copyright on
Unico: The Island of Lost Magic VHS tape is 1984.
Here's some info on the first movie:
http://www.imdb.com/title/tt0083258/