All-Pro: 1976 (PFWA)  ·  1977 (NEA)  ·  1978 (AP, PFWA, NEA, PW)  ·  1979 (AP, PFWA, NEA, PW)  ·  1980 (PFWA, NEA, SN, PW) 

All-Pro Second Team: 1976 (AP)  ·  1977 (AP)  ·  1980 (AP)  ·  1981 (AP) 

All-AFC: 1976 (UPI, SN, PW)  ·  1978 (UPI, SN, PW)  ·  1979 (UPI, SN, PW)  ·  1980 (UPI, PW)  ·  1982 (UPI)  

All-AFC Second Team: 1975 (UPI)  ·  1977 (UPI)  ·  1981 (UPI)

(7) – 1977, 1978, 1979, 1980, 1981, 1982, 1983

Oilers records held by Brazile
(Records through the 1984 season, Brazile’s final season with Houston)

• [1st] Most Consecutive Games, Career – 147
• [3rd] Most Career Games – 147

Team Statistical Championships
Interceptions Titles: 1982

• 1975 Defensive Rookie of the Year (AP)
• 1970s All-Decade Team

1975     Houston Oilers.................. 10-4-0   (3rd)

1976     Houston Oilers.................... 5-9-0   (4th)

1977     Houston Oilers.................... 8-6-0   (2nd)

1978     Houston Oilers................. 10-6-0   (2nd)

1979     Houston Oilers................. 11-5-0   (2nd)

1980     Houston Oilers................. 11-5-0   (2nd)

1981     Houston Oilers.................... 7-9-0   (3rd)

1982     Houston Oilers.................... 1-8-0   (13th*)

1983     Houston Oilers.................. 2-14-0   (4th)

1984     Houston Oilers.................. 3-13-0   (4th)