WordNet (r) 3.0 (2006):

outclass
    v 1: cause to appear in a lower class; "The Yankees outclassed
         Cincinnati"

Moby Thesaurus II by Grady Ward, 1.0:

54 Moby Thesaurus words for "outclass":
   beat, beat all hollow, beat hollow, best, defeat, destroy, do in,
   drub, fix, hide, hors de combat, lambaste, lather, lick, outdo,
   outfight, outgeneral, outgo, outjump, outleap, outmaneuver,
   outmarch, outpace, outperform, outplay, outpoint, outrange,
   outreach, outride, outrival, outrun, outsail, outshine, outstep,
   outstrip, outvie, outwit, overjump, overleap, overmatch, overplay,
   override, put, ruin, settle, skin, skin alive, thrash, trim,
   triumph over, trounce, undo, whip, worst