The West Somerset saw 'The Butlins Express' during the summer of 2007 at least. Can't remember if it ran the following year.
Operated by Victa Westlink Rail it ran from Bristol Temple Meads to Minehead, calling at Taunton. Can't remember, again, how many days a week it operated or how many round trips per day.
Travelling from Merthyr Tydfil that year for a holiday in Butlins we would have used it but preferred the connecting bus from Taunton which went right into the 'camp' rather than have to carry our luggage from the station.
My then young son and I did have a round trip on it from Minehead, dep. 1110, to Taunton, arrived 1345. Returned from Taunton at 1442, arr. Minehead 1625. 31452 seen here at Minehead 4 August 2007. It was 'top and tailed' with another 31 and coaches were Mk 2f complete with buffet car.