A bit OT - but I believe a Lightning shot down a Harrier maybe late '60's / early '70's after the pilot ejected -- something I heard on a documentary about the Lightning. After a short segment about the Harrier being the only plane to beat the Lightning to 20 or 30000 feet ( The Harrier vetol'ing while Lightning was taxing).
Still not sure one can count this
It did indeed happen - a Harrier had an unstart near the-then East German border, pilot ejects, the shock of the ejection restarted the engine and the aircraft set off on a gentle climb towards the border, and had to be rather hastily intercepted and shot down.
That plus a Jaguar getting accidentally splashed by an F4 I think...
As has been mentioned, RAF pilots flying FAA SHAR's did a perfectly splendid job in the Falklands, no issues there at all.
Ian