To recap
The RAF College has been at Cranwell since before 5 February 1920.
An RAF drill and ceremonial unit (though not necessarily the same unit) has been at Uxbridge since some unspecified time in the 20s.
No.633 VGS has been at Cosford since 1946.
JATCS/CATCS has been at Shawbury since 1950
'C' Flt No.22 Sqn has been at Valley since September 1955.
No.616 VGS has been at Henlow since '58
No.120 Squadron has been at Kinloss since 1 April 1959.
Until they stood down recently, No.6 had 93 years of continuous unbroken service, which was a record..... but not at the same station.