Just before his 19th birthday, Bionda led the Brampton Excelsiors to victory over the Kerrisdale Kerries of Vancouver in the 1952 Minto Cup playoffs.
The Shamrocks won the Mann Cup in 1955 and 1957, but Bionda was unable to play in either tournament due to hockey commitments.
Bionda then played for the New Westminster Salmonbellies in 1958 and 1959, winning the Mann Cup both years, and receiving the Mike Kelly Memorial Trophy as series MVP in 1959.
He joined the Nanaimo Timbermen in 1960, registering his fifth scoring title with 70 goals and 48 assists, while again leading his team to the Mann Cup tournament, won by Port Credit.
He made it to the Mann Cup one last time in 1962 with New Westminster, sweeping Brampton in four games to take the championship.
At the same time that Bionda was establishing himself as Canada's greatest lacrosse player, he also had a full career in hockey.