Bath
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A direct train from Paddington, under an hour and a half, into a city small enough to see properly in a day. Bath is one of the few places on this list where the day trip logic actually works without qualification — no bus connection, no missing station, just a straightforward train there and back.
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Nearly 2,000 years old and still fed by a natural hot spring, the Roman Baths in Bath let you walk the same paved edges Roman bathers once stood on — just don’t be tempted to dip a toe in, the water hasn’t been safe to touch since 1978.