During the 1978–79 season Burke played on the wing and scored 3 conversions in Widnes' 15–13 victory over Workington Town in the 1978 Lancashire Cup Final at Central Park, Wigan on Saturday 7 October 1978.
Mick Burke played on the wing and scored 3 conversions in Widnes' 16–4 victory over Warrington in the 1978–79 John Player Trophy Final during the 1978–79 season at Knowsley Road, St. Helens on Saturday 28 April 1979.
Burke played on the wing, scoring a try, and 4-conversions in Widnes' 12–3 victory over Wakefield Trinity in the 1979 Challenge Cup Final during the 1978–79 season at Wembley Stadium, London on Saturday 5 May 1979.
[5] Also during the 1979–80 season Burke played on the wing in Widnes' 0–6 loss against Bradford Northern in the 1979–80 John Player Trophy Final at Headingley, Leeds on Saturday 5 January 1980.
[6] During the 1980–81 season Burke played at fullback, scored a try, and 4 conversions, winning the Lance Todd Trophy as Man of the match, in the 18–9 victory over Hull Kingston Rovers in the 1981 Challenge Cup Final at Wembley Stadium, London on Saturday 2 May 1981.
Also during the 1983–84 season Burke played at fullback and scored a conversion in the 10–18 defeat by Leeds in the 1983–84 John Player Special Trophy Final at Central Park, Wigan on Saturday 14 January 1984.