The 2Pdr was used in the Tetrarch light tank. It could be deployed by glider. They didn’t perform too well in Normandy, the 2pdr just didn’t have the punch required. It was replaced by the Locust light tank. Ironically the locust sported a 37mm gun (2pdr is 40mm).
The 37mm had a decent (for its size) HE round and also theoretically canister, no idea if it made it to ETO, but there was more than one Japanese attack that got an unpleasant surprise from it.