Kammala wannan jumla: Ana ɗaukar ikon mallakar Senators / Rangers a matsayin ɗayan ƙungiyoyi marasa nasara a duk wasannin ƙwararrun Arewacin Amurka. Ya ɗauki ƙungiyar shekaru 36 don a ƙarshe su yi wasan kwaikwayo kuma tun daga wannan lokacin sun yi wasanni takwas ne kawai a cikin MLB postseason, bakwai masu zuwa gasar zakarun Turai a 1996, 1998, 1999, 2010, 2011, 2015, da 2016 kuma a matsayin ƙungiyar katin daji a 2012. A cikin 2010, Rangers sun ci gaba da wucewa a cikin jerin rukuni na farko a karon farko, suna ɗaukar shekaru 50 don zama ƙungiyar ƙarshe ta ƙungiyoyi 30 masu aiki don cin nasarar jerin zagaye na farko, ta doke Tampa Bay Rays. Daga nan sai tawagar ta kawo gida
gasar American League ta farko bayan ta doke New York Yankees a wasanni shida. A cikin Wasannin Duniya na 2010, na farko na mallaka, Rangers sun faɗi ga San Francisco Giants a wasanni biyar. Sun sake maimaitawa a matsayin zakarun League na Amurka a shekara mai zuwa, sannan suka rasa Wasannin Wasannin Duniya na 2011 zuwa St. Louis Cardinals a wasanni bakwai. Tun daga lokacin su na 61, suna da bambanci mai ban sha'awa na ci gaba da kasancewa mafi tsawo a halin yanzu a cikin dukkan 'yan wasan wasanni na Arewacin Amurka waɗanda har yanzu ba su lashe gasar zakarunsu ta farko ba, kuma kawai Cleveland Indians suna riƙe da dogon lokacin MLB.