Well, I think I finally found the Holy Grail of Spider-Man and His Amazing Friends Background Music! A Transformers fan extracted sounds from the Spidey & Friends show and put it into zip files along with Transformers incidental music. Since this was extracted from files by a fan, it is not an official release. But it sounds pretty great anyway and is about 90% FX free. I think this is the best we are going to be able to get. For any fan that is desperate for these themes, I think you'll be very happy. Here's the link to the site, where you can download several Transformers Background Music in zipped files and archives:
Index of /music (
http://www.thetfcog.com/music/)
The file you want to right-click on and download is called 21092010tfcogMUS.zip
There are 13 Spider-Man and his Amazing Friends MP3 cues in that archive, including several great Transformers cues for the Transformers fan in you also. There is actually an MP3 file not labeled as a Spider-Man and His Amazing Friends BONUS track, but was used repeatedly in the show. The song is called "Generic rock-disco theme.mp3". It was used in Transformers, but Amazing Friends fans will recognize it as the music playing at the parties that Peter, Bobby, and Angelica went to in episodes "Triumph of the Green Goblin" and "The Translyvanian Connection", among others.
I hope this fills the huge black hole in your nostalgic animation soundtrack collection from the 1980s like it did mine.
Enjoy!