This movie was watched as much as my parents would allow as I grew up. The introduction to the movie is ingrained in my memory: http://youtu.be/VxoJLJx-mJw After seeing the part where the unicorn is shown in the clouds, I would literally run to the window and look out to see if there was a unicorn in the clouds. Even now, I see shapes in the clouds and hope for the unicorn. The music is by America. It stars so many famous people. Mia Farrow, Alan Arkin, Tammy Grimes, Angela Lansbury, Jeff Bridges, and Christopher Lee. You can see a lot of the tapestry artwork shown in the animation. I still have each line memorized; no matter how corny it is. :)
You can usually find the movie pretty cheap. There was recently a re-release to celebrate the 25th anniversary of the movie.
All the singing is beautiful except for one scene which I openly admit is horribly sung by Mia Farrow. :) Listen at your own risk: http://youtu.be/lIUnq2d9pMU Acting, her voice is perfect. Singing... not so much.