Synonyms for Exceed (same or very similar meaning)
WordNet sense 1 (go beyond):
surpass, transcendWordNet sense 2 (go beyond):
overstep, pass, top, go pastWordNet sense 3 (be or do something to a greater degree):
outdo, outgo, outmatch, outperform, outstrip, surmountFrom the ODE community, based on WordNetadd/edit