[6] He joined as an apprentice after leaving school and was named on the substitute's bench in the Debenhams Cup of the 1976–77 season, but was not played by manager Roy Sproson.
He then scored on the first day of the 1978–79 season in a 2–2 draw with Scunthorpe United and then found the net again in a 3–1 win at Doncaster Rovers on 12 September.
He was selected in the PFA Team of the Year for 1982–83, along with teammates Phil Sproson, Geoff Hunter, and Steve Fox.
[10] However, he refused to sign a new contract for the 1983–84 season, as did teammates Geoff Hunter, Barry Siddall, and Terry Armstrong.
[9] He went on to finish the campaign with 42 appearances, scoring one goal against Wigan Athletic, as the club were relegated under new manager John Rudge.
Bromage posted 46 appearances in 1984–85, finding the net in a league win over Stockport County and an FA Cup victory over Scunthorpe United.
His ten-year testimonial match was held against rivals Stoke City on 13 April 1986, Vale lost the game 1–0.
Bromage joined Barry Lloyd's Second Division Brighton & Hove Albion for the 1990–91 season, having been offered a two-year contract despite his long lay-off with injury.
[17] Bromage was appointed player-manager of Whitehawk for the 2007–08 season[18] and oversaw a second-place finish in the Sussex County League.
[20] After retiring from football, Bromage moved to Shoreham-by-Sea and briefly worked as a financial adviser before he set up a window cleaning business.