In 1969 Flowers co-founded the group Blue Mink and played on their song "Melting Pot", which reached #3 in the UK Singles Chart. He was a member of CCS, and later featured in a mid-1970s line-up of T. Rex. In 1979, shortly after taking part in the annual A Song For Europe contest, performing "Mr. Moonlight" with his group, "The Daisies", he became a co-founder of the band Sky, which had considerable success in the United Kingdom. Since the band's demise in the early 1990s Flowers has spent most of his time playing jazz. He also works as a bass guitar teacher at Ardingly College, and leads many 'rockshops' at schools, helping children to create and perform their own songs, as well as covering many others.
Flowers is also known for having composed the novelty hit "Grandad" for Clive Dunn, a fact that has tended to overshadow his many other achievements. According to Flowers on the BBC Radio 2 show Jammin', he came up with it after following an easy primer book on composing. All he needed was a hook, and he was struggling to come up with anything. He phoned a friend (Ken Pickett) who came round, ringing the doorbell, and the ding-dong from the doorbell provided the hook he needed. He is a long time user of a 1959 Fender Jazz Bass that he purchased from Manny's in New York City during a 1959 visit.