Two Mr. Bubble Ads (Videos, ~1974/~1987)
You can watch them here.
Vremya - five episodes (1977/1982/1987/1989/1990)
You can watch these episodes of the Soviet Union news show here. The last is an official English dub aired by PBS.
Juggling Step-By-Step (Video, Dave Finnigan, 1987)
You can watch it here.
(Most of) Practical Computing (Magazines, 1978-1987)
You can read it here.
The Little School House - All About Animals and All About Colors (Videos, 1987)
You can watch them here.
Anacreon: Reconstruction 4021 (DOS, Thinking Machine Associates, 1987)
You can play it in your browser here.
16 Bit - Changing Minds (Video, 1987)
A music video featuring the Amiga and its graphics, from the German band previously known as Off and later renamed Snap!. You can watch it here.
The term 'changing minds' clearly isn't being used in the usual sense here.
Twas the Night Before Christmas (Apple II, 1987)
You can play it in your browser here.
Cinema Then, Cinema Now (Videos, 1986-1994)
Local TV film discussion program from New York City. You can watch almost 160 episodes of it here.
Zoobilee Zoo - Most of the Original Series (Videos, 1986-1987)
You can watch it here.
The iconic intro:
Mother Goose Treasury - The Complete Series (Videos, Left Coast Television, 1987)
From the creators of the partly-lost Disney series Welcome to Pooh Corner and Dumbo’s Circus. You can watch it all here.
Maxie's World: The Complete Series (Videos, 1987)
The cartoon of Hasbro's answer to Barbie. You can watch it all here.
Home-Taped Georgia PBS Cooking Shows (Videos, ~1987-1988)
You can watch them here (note the two selectable videos).