Mezue ahịrịokwu na-esonụ: Reilly gbara bọọlụ na World Series na 1984, 1992, 2002 na 2007, na All-Star Game na 1982, 1993, 2000, na 2010, na-akpọ bọọlụ ma na-akụ maka asọmpi abụọ ikpeazụ. Ọ na-achịkwa n'asọmpi League Championship Series itoolu (1983, 1987, 1991,
1996, 1997, 2001, 2003, 2006, 2008) na isii Division Series (1981, 1995, 1999, 2000, 2002, 2007). Ọ bụkwa onye ọka ikpe na 1976 Caribbean World Series.