I remember one Airprox I was involved in occurred well outside controlled airspace south west of Farnborough, (Kingair departed Blackbushe and initially headed south west) but the AWG, without reference to radar recordings, decided it happened 5nm east of this position which would put it inside controlled airspace!!
On another occasion, a Puma departing from Odiham to the north west was warned of traffic north east of him heading west on the railway line, and promptly filed an airprox (airmiss in those days), but the Puma had the other traffic on his right thus should have given way!!
My personal one was departing from Halton in an AX3 heading south west, suddenly a Citation appeared from my blind spot over the right wing and banked across ahead of me so his registration was hidden from me. Miss distance was less than 500ft.
OK he was on my right but I couldn't see him 'til he was ahead and in any case, by exposing me to his slipstream, he was endangering my aircraft!