Conversation so far:
Did they Talking Heads win any awards?
CANNOTANSWER.
What was one of their successful albums?
1983 saw the release of Speaking in Tongues, a commercial breakthrough that produced the band's only American Top 10 hit, "Burning Down the House".
What were some of the problems that led to their breakup?
During that time, the group was falling increasingly under David Byrne's control and, after Naked, the band went on "hiatus".
Did they perform together after the hiatus?
It took until December 1991 for an official announcement to be made that Talking Heads had broken up.
Their final release was "Sax and Violins".
Were there other conflicts that led to the breakup?
CANNOTANSWER.

Question: What sort of acclaim did they receive during their success?
Self-contained rewrite: What sort of acclaim did The Talking Heads receive during their success?