Ku dhameystir weedha soo socota: McCoy wuxuu ka shaqeeyay World Series sanadihii 1977 iyo 1988. Wuxuu sidoo kale garsoore ka ahaa lix American League Championship Series (1973,
1976, 1980, 1986, 1990 iyo 1997) iyo seddex ciyaarood oo All-Star ah (1978, 1985 iyo 1996), oo kubbado iyo weeraro loogu yeeray ciyaartii 1985. McCoy wuxuu ka soo shaqeeyay Horyaalka American League ee 1981, 1995 iyo 1998. Wuxuu ahaa garsooraha salka saddexaad bishii Abriil 20, 1986, markii Roger Clemens uu noqday kii ugu horreeyay ee garaacaya 20 garaac ciyaar sagaal wareeg ah. McCoy wuxuu sidoo kale ahaa garsooraha ugu horreeya ee David Cone ciyaarta kaamilka ah ee July 18, 1999. Waxa uu ahaa garsooraha saxanka ee Ten Cent Beer Night oo ay qabteen Cleveland Indians bishii Juun 4, 1974, oo ku dhammaatay guul ay ku guulaysteen Texas Rangers. Waxa kale oo uu ahaa garsooraha saxanka guriga Phil Niekro guushii 300aad ee xirfadiisa ee Toronto Oktoobar 6, 1985.