N L H,
I believe the air forces of Australia and New Zealand, and possibly Canada were historically modeled on the RAF, hence no doubt the reason they operate MPA.
I said many (with most followed by a question mark) countries have navies which operate MPA, using your "from memory" approach, I could quote, in addition to the USN:
JMSDF - a mere 80 odd P-3s which no doubt exceeds the combined MPA fleets of Canada, New Zealand, Australia, Norway, Spain, and Portugal.
France
Germany
Italy
India
Pakistan
South Korea
(the Dutch used to)
Hopefully that's enough to at least prove my use of "many", if not "most"...