Conversation so far:
What happened in 1981?
CANNOTANSWER.
What was the height of commercial success?
Three more albums followed: 1985's Little Creatures (which featured the hit singles "And She Was" and "Road to Nowhere").
Did they receive any awards?
CANNOTANSWER.

Question: When did they break up?
Self-contained rewrite: When did the Talking Heads break up?