Halley (Squadrons of the RAF) records a very large number of "Empire" Sqns in addition to those mentioned above. I'll try and not take up too much space .........
They were:
18 & 257 - Burma. 35, 79, 99, 234 & 264 - Madras Presidency. 44, 237 & 266 - Rhodesia. 46 - Uganda. 56 & 130 - Punjab. 65, 92, 127 & 149 - East India. 72 - Basutoland. 74 - Trinidad. 75 - New Zealand. 122 & 132 - Bombay.
124 - Baroda. 125 - Newfoundland. 129 - Mysore. 139 - Jamaica. 167, 183, 218 & 249 - Gold Coast. 82 & 87 - United Provinces (where they?). 88 & 114 - Hong Kong. 91 - Nigeria. 97 - Straits Settlements.
102 & 165 - Ceylon. 174 - Mauritius. 214 - Federated Malay States. 222 - Natal. 247 - Canadian (not just "Canada"). 245 - Northern Rhodesia. 250 - Sudan. 253 - Hyderabad State (not just "Hyderabad" like 110 and 152).
When I was first on 72 ('71 to '73) ISTR the "Basutoland" name still being on some (old-ish) badges and memorabilia, but not when I returned a few years later.......