His first career touchdown pass was a 27-yard completion to Joe Auer in a 29–28 win over the Houston Oilers in the final game of the season.
[3] Stofa was traded to the AFL expansion team Cincinnati Bengals prior to the 1968 season.
Stofa shared time with fellow Bengals quarterbacks Dewey Warren and Sam Wyche.
In 1970, backing up starter Bob Griese, Stofa played in eight games, with 16 completions in 53 attempts for 240 yards and three touchdowns.
Backing up quarterbacks Reggie Oliver and Kay Stephenson, Stofa completed two passes in five attempts for 24 yards and one touchdown.
[13] He was also a former board member of the University at Buffalo Blue and White Club, which holds annual fund-raising campaigns to provide scholarships for UB student-athletes and activities to enhance the visibility and reputation of the university's Division of Athletics.