Dee ihe ga-aga n'ihu na paragraf a - afọ iri atọ na ise nke Brinkman na-ekpe ikpe egwuregwu AL karịrị ihe ndekọ nke Larry Barnett (1968-1999) setịpụrụ. Brinkman bụ onye nke ise na oge niile n'ọtụtụ egwuregwu a rụrụ na Major Leagues. Atọ n'ime mmadụ anọ ahụ bu ya ụzọ nọ n'Ụlọ Nzukọ Ndị A Ma Ama. Brinkman gbara ama na World Series atọ: 1978, 1986, 1995). Ọ na-ekpe ikpe na American League Championship Series ise (1976, 1980, 1987, 1992)
, 1997), na egwuregwu atọ nke All-Star (1977, 1991, 1996), na-akpọ bọọlụ na iti ihe na 1991. Brinkman rụrụ ọrụ na Division Series na 1981, 1995, 1998, 1999, 2004 na 2005. Ọ na-achịkwa na A. J. Burnett enweghị-hitter megide San Diego Padres na May 12, 2001. Brinkman jere ozi dị ka onye isi ndị ọrụ maka ALCS na 1987 na 1997, yana maka 2005 NLDS. A mara ọkwa ezumike nka ya na August 22, 2006. Onye bụbu onye ọka ikpe Bob Davidson alọghachitere iji dochie Brinkman na ndị isi egwuregwu. Ọ rụrụ ọrụ n'ụlọ egwuregwu maka egwuregwu ikpeazụ na Comiskey Park na 1990.