[5] Mueller was famous for having only eight fingers, after losing two when he caught his hand in a machine at work.

He was notable as the primary instigator of Melbourne's 1948 flag victory after being recalled from retirement (with the reserves) for that year's Preliminary Final in which he kicked eight of his team's 25 goals against Collingwood.

After initially being rejected in 1941 due to his missing fingers, Mueller served in the Australian Army from 1943 to 1945,[8] playing very few games for Melbourne in these three seasons.

In the late 1940s and 1950s, Mueller was a football commentator on 3KZ, working first with Norman Banks and later Philip Gibbs.

Jack Mueller died on 14 June 2001[9] and is buried at Springvale Botanical Cemetery.