From the list of "Knighted Celebrities" we have:
Bono (Paul David Hewson) (KBE 2007)
Bob Geldof (KBE 1986)
Tom Jones (KBE 2006) -- NON-Rock
George Martin (KBE 1996)
Paul McCartney (MBE 1965, KBE 1997)
Cliff Richard (OBE 1980 KBE 1995)
The above are just from the Celebrity list.
The four Beatles are listed on: Members of the Order of the British Empire (See McCartney above).
Only the two highest ranks (GBE and KBE) entail admission into knighthood, an honour allowing the recipient to use the title 'Sir' (male) or 'Dame' (female) before their name, so long as that person is a national of a realm where the Queen is Head of State.
The following link lists the different people who have been so honored:
Knight Bachelor
Knights Grand Cross of the Order of the British Empire
Knights Commander of the Order of the British Empire
Dames Grand Cross of the Order of the British Empire
Dames Commander of the Order of the British Empire
Commanders of the Order of the British Empire
Officers of the Order of the British Empire
Members of the Order of the British Empire
British honours system
United Kingdom order of precedence
Celebrities who have been awarded the Order of the British Empire
List of honorary British Knights
List of people who have declined a British honour
https://en.wikipedia.org/wiki/Commander_of_the_Order_of_the_British_Empire#Precedence_and_privileges
en.wikipedia.org/wiki/List_of_celebrities_who_have_been_awarded_the_Order_of_the_British_Empire#M no longer exists