Max Headroom Pirating Incident (1987)

 
More info here. A subtitled version can be found here.


Here's what CBS News had to say about it the next day:

Cutie Honey (1973)

Melvins - "Matt-Alec" (1984)

Here they are in 2005, still abnormally good for their age.

Trent Reznor Interview (1985)

Trent Reznor (then of the Exotic Birds) talks about electronic music on the Cleveland local news.

Additional amusement on Reznor's behalf can be had here and here.

Fecal Matter - "Sound of Dentage" (1985)

This is actually a fan video that combines footage from a 1984 Kurt Cobain home movie with a song from the group's Illiteracy Will Prevail demo.