Two: The Me 262 and the Arado ‘Blitz’ bomber. The Komet was actually rocket propelled, glide operated - and, I believe, made of wood.
He 162 got into service right at the end. That was the jet made out of wood, that occasionally came apart because we accidentally bombed the glue factory. Real short legs and not particularly well armed. Only virtue was that it could be built by unskilled labor from largely nonstrategic material.
Me 163 was the rocket/manned SAM.
We really need another thread for worst/most screwed up fighter to actually get a kill.