On 11 March 1981, Bucks Fizz, a virtually unknown group, beat seven other artists to win 'A Song for Europe', the United Kingdom selection show for the Eurovision Song Contest. They followed the classic and successful 'two male — two female' Eurovision line-up established by ABBA.

The group were put together by producer/writing combo Nichola Martin and Andy Hill especially for this performance. Baker had formerly been a member of the group Co-Co, who came 11th at the 1978 Eurovision Song Contest with the UK entry "The Bad Old Days”.

Bucks Fizz then went on to represent the UK at the 1981 Eurovision Song Contest in Dublin, Ireland. They performed "Making Your Mind Up", which featured a famous skirt-ripping dance routine and won the Eurovision Song Contest by a margin of just four points. They produced further hit singles and albums in the early 1980s. "Making Your Mind Up" was a Number One Hit for the group in nine different countries.

The Eurovision win was promptly followed by a further two Top 20 hits in the UK, "Piece of the Action" and "One Of Those Nights". After winning Eurovision, the group built on their success with other awards and accolades. In November 1981, they won the Best Song Award at the Yamaha Song Contest in Tokyo with the song "Another Night".

Their next single released in November 1981, "The Land of Make Believe" reached number one, as did "My Camera Never Lies". They were the first British act of the 1980s to score 3 number ones within a 12 month period. They toured extensively in 1981 and 1982.

Further success followed in May with the group's second studio album Are You Ready which went Gold immediately. Attempting diversity a ballad was released 'Now Those Days Are Gone' which reached number eight in the UK charts. Success continued with the release of the singles 'If You Can't Stand The Heat', 'Run For Your Life' and 'When We Were Young'.

Bucks Fizz's third studio album Hand Cut was released in 1983 with intricate harmonies, booming choruses and perfect pop. Finally the year was topped off with the release of their Greatest Hits album which went gold and featured new songs 'London Town' and 'Rules of the Game'.