There is some stock music in the Nick at Nite “Classic” IDs from 1987-1989. Here are one I can identify:
Gay Activity - Clive Richardson:
(bumper with five men in tuxedos dancing)
Here We Go Round The Mulberry Bush - Brian Gulland & Richard Harvey:
(the bumpers with the children in Halloween costumes, and another where the couple turn into kids)
Reach for the Stars - Richard Harvey:
(the bumper with the astronaut)
Good Day - Dick Walter:
(the bumper where the girl falls in love with a man, who later get hit by a bow and arrow)
Paris Pavements - Dick Walter:
(the bumper where the couple become Italian chefs)
Silent Film Movie - Comedy - John Matthews (JW):
(the bumper where the woman plays with a little kid)
If anyone knows any others, let me know and I will update it.
Here are the bumpers:
https://youtu.be/1QlKrmrh1gY