The Collaborative International Dictionary of English v.0.48:

Outshine \Out*shine"\, v. i.
   To shine forth. "Bright, outshining beams." --Shak.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Outshine \Out*shine"\, v. t.
   1. To surpass in splendor, excellence, or achievement.
      [1913 Webster]

            A throne of royal state, which far
            Outshone the wealth of Ormus and of Ind. --Milton.
      [1913 Webster]

   2. To shine more brightly than.
      [PJC]

WordNet (r) 3.0 (2006):

outshine
    v 1: shine brighter than; "What star outshines the sun?"
    2: attract more attention and praise than others; "This film
       outshone all the others in quality"

Moby Thesaurus II by Grady Ward, 1.0:

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