Best Somerset Attractions Best Somerset Attractions Dunster Castle A beautiful castle sitting on a wooded hill, dating back 1000 years. West Somerset Railway offering 20 miles of heritage railway through stunning Somerset countryside. Glastonbury Tor Steeped in history and legend, the Tor is a fascinating place to visit. Roman Baths One of best preserved roman remains in the world, these baths date back to 70 AD. Brean Leisure Park A family amusement park with over 30 rides and attractions. Montacute House Montacute House in Somerset, is a beautiful Elizabethan mansion with surrounding gardens.