A wing half, he spent his entire professional career playing for his home town club Cardiff City, making over 300 appearances during a 13-year spell with the Bluebirds.
[3] He also won 7 caps for the Wales national team during his career and was part of the squad for the 1958 FIFA World Cup.
[6] He made his debut in a 2–2 draw with Sheffield Wednesday on the final day of the 1953–54 season and went on to take over from his namesake Billy Baker on a permanent basis and his partnership with Alan Harrington during the 1959–60 season helped the Bluebirds win promotion back to the First Division.
[9][10] Despite being uncapped at senior level, Baker was selected as part of the Wales squad for the 1958 FIFA World Cup in Sweden.
[9][12] He did not feature again during the tournament but went on to win a total of 7 caps,[13] making his final appearance on 8 November 1961 against Scotland.