George Henry Case (4 April 1839 – 21 April 1911) was an English cricketer.
Case was a right-handed batsman.
Case represented Hampshire in two first-class matches in 1864, which was Hampshire's debut season as a first-class county.
Case's debut match came against Sussex, which was Hampshire's first first-class match.
In the Hampshire first innings he was absent ill, but in Hampshire's second innings he made his highest career score of 48.
Case's second and final first-class match came against Middlesex.
Case died at Fareham, Hampshire on 21 April 1911.