Komet 163 was not a true jet, it was rocket powered.

The HE280 first prototype was completed in the summer of 1940, but the HeS 8 intended to power it was running into difficulties. On 22 September 1940, while work on the engine continued, the first prototype started glide tests with ballast hung in place of its engines. It would be another six months before Fritz Schäfer would take the second prototype into the air under its own power, on 30 March 1941. The type was then demonstrated to Ernst Udet, head of RLM's development wing, on 5 April, but like its predecessor, it apparently failed to make an impression.
Engine problems continued to plague the project. In 1942, the RLM had ordered Heinkel to abandon the HeS 8 and HeS 30 to focus all development on a follow-on engine, the HeS 011, a much more advanced (and therefore problematic) design. Meanwhile, the first He 280 prototype had been re-equipped with pulsejets and was towed aloft to test them. Bad weather caused the aircraft to ice up, however, and before the jets could be tested, pilot Helmut Schenk became the first person to put an air powered ejection seat to use. The seat worked perfectly, but the aircraft was lost, and never found.
On 27 March, Erhard Milch cancelled the project. The Jumo 004-powered Me 262 appeared to have most of the qualities of the He 280, but was better matched to its engine. Heinkel was ordered to abandon the He 280 and focus attention on bomber development and construction.

The Whittle E.28/39 was delivered to Brockworth for ground tests beginning on 7 April 1941, using a non-flightworthy version of the Power Jets W.1 engine. These included some short "hops" of about 6 ft in height from the grass airfield. With these initial tests satisfactorily completed, the aircraft was fitted with a flightworthy engine rated for 10 hours use, and then transferred to Cranwell which had a long runway. On 15 May 1941, Gloster's Chief Test Pilot, Flight Lieutenant Gerry Sayer flew the aircraft under jet power for the first time from RAF Cranwell, near Sleaford in Lincolnshire, in a flight lasting 17 minutes.

The 262 first flew 18 July 1942 in Leipheim near Günzburg, Germany, piloted by Fritz Wendel. This was almost nine months ahead of the British Gloster Meteor's first flight on 5 March 1943.

However, i do not know of any original 262 airframes that are flying?

So, when this Meteor flys it will be "The oldest jet fighter in the world" unless someone gets a HE262 going..... or a Whittle!.

Paul G