WordNet (r) 3.0 (2006):

come through
    v 1: penetrate; "The sun broke through the clouds"; "The rescue
         team broke through the wall in the mine shaft" [syn: break
         through, come through]
    2: succeed in reaching a real or abstract destination after
       overcoming problems; "We finally got through the bureaucracy
       and could talk to the Minister" [syn: get through, come
       through]
    3: continue in existence after (an adversity, etc.); "He
       survived the cancer against all odds" [syn: survive, pull
       through, pull round, come through, make it] [ant:
       succumb, yield]
    4: attain success or reach a desired goal; "The enterprise
       succeeded"; "We succeeded in getting tickets to the show";
       "she struggled to overcome her handicap and won" [syn:
       succeed, win, come through, bring home the bacon,
       deliver the goods] [ant: fail, go wrong, miscarry]

Moby Thesaurus II by Grady Ward, 1.0:

100 Moby Thesaurus words for "come through":
   achieve success, advance, arrive, be a success, be glimpsed,
   be safe, be so, be such, beat the game, beat the system,
   break through, bring about, bring off, bring to effect,
   bring to pass, carry into effect, carry into execution, carry off,
   carry out, carry through, chip in, come across, come across with,
   come along, come down with, come on, come out, come through with,
   come up fighting, come up smiling, contrive, cough up, cut a swath,
   dawn on, fare, fork over, fulfill, get across, get ahead,
   get along, get by, get on, get over, get there, get through,
   go along, go far, go on, go places, go through, grease the palm,
   have it made, implement, keep safe, kick in, lay on one,
   live through, make a breakthrough, make a success, make good,
   make headway, make it, make out, make the scene, manage, penetrate,
   persevere, pitch in, plunk down, pony up, post, progress, pull off,
   pull through, put across, put in practice, put into effect,
   put into practice, put over, put through, register, ride out, rise,
   shape up, sink in, soak in, stack up, stump up, subscribe,
   tickle the palm, tide over, translate into action, triumph,
   turn out, weather, weather out, weather the storm, win out,
   win through, work out