Crichton made two first-class appearances for Warwickshire in the 1908 County Championship against Sussex and Hampshire.
[1] In the match against Sussex, Crichton was dismissed for a duck in Warwickshire's first-innings by John Vincett.
In Sussex's first-innings, he took the wickets of Ernest Killick and George Cox, finishing with figures of 2/21 from six overs, with the match ending in a draw.
[2] Against Hampshire, he was dismissed for a duck in Warwickshire's first-innings by Jack Newman, while in their second-innings he was promoted to open the batting, scoring 26 runs before he was caught by Alex Bowell off the bowling of Charlie Llewellyn.
[3] He later made two appearances for Berkshire in the 1913 Minor Counties Championship against Dorset and Buckinghamshire.