I've always read that the first jet vs. jet combat was Korea, MiG-15 vs. Lockheed P-80 Shooting Star. I've never heard of the 262 vs. a Meteor. The Meteor, though a jet, really didn't have performance any better than a Griffin engined Spitfire or a Hawker Typhoon, Tempest.
Though if the A-bombs hadn't been dropped the first jet combat very likely would have been in the Second World War- the Lockheed P-80 vs. the Nakajima Kikka.
And though I hate to say this as an American- best-looking aircraft ever, IMHO the Supermarine Spitfire. Graceful, classy lines, a very elegant design for the brutal work of killing.
The only thing wrong with the spit is the airfoil. The wing planform is beautiful, but the airfoil is a flat bottomed joke.
Would love it if someone would come out with a kit plane with an eliptical wing like that. The Lancair Legacy almost did, but they cheesed out and just made it a double taper. There they went and built a great composite wing, but cut it like it was an aluminum wing limited to 2d curves.