Archer represented Great Britain (RL) while at Workington in non-Test matches on the 1958 tour of Australia, and New Zealand.

Four Workington players were selected for the 1958 tour; Harry Archer, Brian Edgar, Ike Southward and Bill Wookey (later of Barrow).

Archer played stand-off in Workington Town's 9–13 defeat by Wigan in the 1958 Challenge Cup final during the 1957–58 season at Wembley Stadium, London on Saturday 10 May 1958.

Archer played stand-off in Workington Town's 9–9 draw with Widnes in the Western Division Championship Final during the 1962–63 season at Central Park, Wigan on Saturday 10 November 1962, in front of a crowd of 13,588, and he played stand-off in the 10–0 victory over Widnes in the Western Division Championship Final replay during the 1962–63 season on Wednesday 21 November 1962.

[9] Archer signed for Workington Town on 30 March 1953, the half-back pairing of Harry Archer and Sol Roper was initially made in the 29–15 victory over Dewsbury at Crown Flatt, Dewsbury on Saturday 24 September 1955, the following week they played together against New Zealand, the pairing lasted for more than a 10-years and over 300 matches, although not prolific try-scorers, they created hundreds of try-scoring opportunities for, e.g. Ray Glastonbury, Piet Pretorius and Ike Southward, Archer played his last match for Workington Town against Huddersfield on Saturday 19 November 1966, he was transferred from Workington Town to Whitehaven, he made seven appearances for Whitehaven before retiring.