Members of The Buggles, in going on to participate in other acts such as Art of Noise, helped shape much of the early electronica/techno scene. Their video, for better or worse, set the stage for the first three or four years of the music video genre. While those years may not have been years that we remember without shuddering a bit (despite loving 'em), they did have a fairly profound impact on pop culture in the mid-'80s.

BTW, their famous track Video Killed the Radio Star is off the album The Age of Plastic (thanks to SansPoint for correcting me on that), which I highly recommend if you like any of the bands mentioned above. It's still available on CD. A later album of theirs is seen occasionally; it's named Adventures in Modern Recording but I think it's only on vinyl.