C major, D minor 6, which is also a half diminished B minor chord. Of course, their sharp counterparts are also available.
With some careful technique, the Dm6 can be played in just three holes for a Dm, which is also true of a B diminished.
Those are triads or more. Any two notes in adjacent holes can also serve a chord function. Except the double Cs.
BTW, I've used the draw chord as a G9 without the root: (G) B D F A