The only REME people I knew were either Air Techs (working on helicopters, mainly) or Spannerwankers. Of the two, I'd say the aircraft way would be better.
Although both will provide you with employment after you leave the Army, unlike some other paths you could choose. (Aimed at Bert more than anybody else, tbh.

)
As Slampa! said, RADAR/Comms is another avenue.
IT bods anywhere and everywhere these days - saturation point has to be reached at some point, and then what'll happen ?