1) Accomplish more than 2) Achieve a personal best 3) Be a cut above 4) Be superior to 5) Be victorious 6) Beat 7) Beat out 8) Beat, performance-wise 9) Best 10) Best in competition 11) Best or top 12) Better 13) Better or best 14) Come out ahead of 15) Crush 16) Defeat 17) Do better than 18) Eclipse 1) Beat 2) Best 3) Better 4) Eclipse 5) Exceed 6) Go one better 7) Oneup 8) Outdraw 9) Outfox 10) Outmaneuver 11) Outmanoeuvre 12) Outmarch 13) Outmatch 14) Outpace 15) Outperform 16) Outrange 17) Outroar 18) Outsail 19) Outsell 20) Outshine 21) Outshout 22) Outsmart 23) Outstrip 24) Outwear 25) Outweigh 
• (v. t.) To go beyond in performance; to excel; to surpass.
Out·do' transitive verb [ imperfect Outdid ; past participle Outdone ; present participle & verbal noun Outdoing .] To go beyond in performance; to excel; to surpass. « An imposture outdoes ...
[v] - get the better of
trump verb get the better of; `the goal was to best the competition`
to surpass in execution or performance: The cook outdid himself last night.