Conversation so far:
What was Ringo Starr apart of?
Starr and the other members of the Beatles were appointed Members of the Order of the British Empire (MBE.
What was their next honor?
Birthday Honours; they received their insignia from Queen Elizabeth II at an investiture at Buckingham Palace.

Question: What award was their next achievment?
Self-contained rewrite: After Birthday Honours, what award was the Beatles' next achievement?