That's a beautiful set, Abhay, and an interesting question. The 1953 New Zealand crown was issued especially to celebrate the coronation. The UK also issued its own commemorative crown for 1953. Southern Rhodesia issued one in 1953, but it was to commemorate the 100th anniversary of Cecil Rhodes - not to mark the Queen's coronation.
Canada issued a special coronation medal but no coin. Australia and South Africa, the two other large Dominions, did not issue any coin to commemorate the coronation. So it looks as if only the UK and NZ did. Several of the countries and territories on your list did not of course issue any coins until long after 1953.