1) Attract a larger audience 2) Be quicker than in a gunfight 3) Beat in a shootout 4) Beat in a Western showdown 5) Beat to the gun 6) Best, oater-style 7) Clear leather first 8) Exceed 9) Get higher ratings than 10) Get more attendees 11) Outdo 12) Outgo 13) Outmatch 14) Outperform 15) Outstrip 16) Surmount 
• (v. t.) To draw out; to extract.
Out·draw' transitive verb To draw out; to extract. [ R.] 'He must the teeth outdraw .' Gower. 
[v] - draw a gun faster, or best someone in a gunfight
to draw a gun, revolver, etc., from a holster, faster than (an opponent or competitor): She could outdraw any member of the club. · to prove a greater attraction than; exceed in attracting an audience, patrons, attention, etc.: She outdraws all male stars at the box office.