Arthur Frank Rapley (born 2 September 1937) is a former New Zealand cricketer who played first-class cricket for Canterbury from 1958 to 1960.

An off-spin bowler and useful lower-order batsman, Rapley played his first match for Canterbury at the age of 20 in the last round of the Plunket Shield in 1957-58 and took four wickets (match figures of 35–15–60–4).^[1] He was selected in the trial match for South Island a few days later and took two wickets cheaply.^[2]

He took only eight wickets in five matches in 1958-59.^[3] However, he made his highest first-class score of 40 in Canterbury's victory over Central Districts, when he and Graham Dowling added 85 for the last wicket, Dowling finishing on 103 not out.^[4]

Rapley did not play in Canterbury's first four Plunket Shield matches in 1959-60 but, restored to the team for their final match, he was the leading bowler in Canterbury's victory over Northern Districts, taking 3 for 54 and 6 for 73 (match figures of 78.1–30–127–9).^[5] This victory, achieved at the last possible moment of the match, gained Canterbury the Plunket Shield.^[6] But it was Rapley's last first-class match.^[7]

Rapley played for North Canterbury in the Hawke Cup from 1963 to 1983.^[8] In all he played 65 matches for North Canterbury, taking 209 wickets.^[9] In a two-day match for West Coast against Buller in 1960-61 he took 8 for 11 and 5 for 33.^[10]

Rapley has spent most of his life in the North Canterbury region, where he was born. He was assistant town clerk for the Rangiora Borough Council in the 1970s,^[11] and was one of the first trustees of the North Canterbury Sport & Recreation Trust after it was established in 1982.^[12] He served as a justice of the peace in Rangiora until 2007.^[13]

His grandson Fraser Sheat has played for Canterbury since the 2017-18 season.^[14]