If by "good" you mean blue ribbon or first across the line, I'm not
  sure there is such a beast who could do both -- you're talking about
  specialists of high order in very different disciplines.  But if you're
  talking personal best, get a horse, any horse, whatever you can live
  with.  I'll put a plug in for Arabs, but I've known some Appys who
  excelled in dressage and CT.  And you can't beat the elegance of some
  Thoroughbreds either.  They're good at endurance, too.  Just stay
  away from the muscle-bound warmblood types.  They won't fare well 25
  miles down the trail on a hot day.