Career
He played four seasons for the Houston Oilers. Onesti was a three-year football letterman for the Northwestern University Wildcats from 1959-1961, and one of the first NU football players to be named Academic All-America. As a captain for the 1961 squad, Onesti also was named All-America, AllBig Ten, and Academic All-Big Ten.
He is one of only three NU football players to be named both All-America and Academic All-America in the same season.
He participated in the 1961 North-South All-Star Game, the 1962 Coaches" All-America Game and the 1962 Coaches" All-America Game and the 1962 College All-Star Game. Onesti was a ninth round draft pick of the Houston Oilers in 1962 and played four seasons in the American Federation of Labor-Congress.