Attractions and venues that offer a discount when you arrive by public transport

MSE_James

TfL have extended their 2-for-1 deal at Hampton Court Palace and the Tower of London, and added new discounts for Lee Valley VeloPark 

https://www.tfl.gov.uk/deals 

dyl42

RHS Bridgewater (Salford) have a car-free travel price at saves around £5 per adult and £2 per child - bus, cycle, on foot. Asks for proof, not sure how you prove "on foot" though. Sorry can't post a link, system won't let me but search for RHS Garden Bridgewater tickets should find it

MSE_James

On Tuesday my wife and I visited Kingston Lacy (a National Trust property in Dorset) by bus, and availed ourselves of the offer of a free hot drink when you present your bus ticket.

NB the bus from Wimborne only runs on Tuesdays, Thursdays and Fridays.

DiscountDiva63

Also, worth checking out south western railways reward scheme - you basically get discounts on theatre, dinners, days out with a train ticket.