Lots of mine have been mentioned already, which is hardly unsurprising, but I recognise most of the others - even those which might be considered "before my time" (e.g. Andy Pandy and the Flower Pot Men from Watch with Mother).
Thomas the Tank Engine, TUGS (sister show to Thomas), Thunderbirds, Fireman Sam, Postman Pat, The Animals of Farthing Wood, and Around the World with Willy Fog*
*Despite featuring anthropormorphic animals I believe this is regarded as one of the most accurate adaptations of Verne's novel. This one is also very international - Spanish cartoon based on a French novel, animated in Japan and then re-dubbed into English!