I started with BOAC in 1967 and at that time the carib ie BGI POS was served over Bermuda with the 707-436's -lots of nav time LHR-BDA and vv for those of us doing our Flt Nav licence
BDA was also served over JFK as was MBJ/KIN and NAS - the MBJ/KIN was under an Air Jamaica Flight number
At some stage the VC-10 served BGI etc over JFK and later the 707-336C/B did the non-stop ANU/BGI and onwards to CCS/BOG.CLX although these latter stations were served over JFK/KIN for some time with 707-400's.
BOAC were very fond of rotating aircraft types on these routes every couple of years