Here is what I can find about last combat for particular aircraft.
F4U Corsair - 1969 "Soccer War" (This was also the last combat period piston engined fighters.)
P-51 Mustang - 1964 Dominican Air Force during Operation Power Pack. (The P-51 was used by the Dominican Airforce until the 1984.)
P-47 was used by the Peruvian Air Force until 1966, but I am not sure about combat.
Spitfire - 1948 Arab Israeli War and Malayan Emergency (however the Spit served until the 1960s)
Bf 109 - 1948 Arab Israeli War (however were used in Spain until the 1960s.)