Set in an impressive 12th-century undercroft, Moyse's Hall's rarities include a locket containing some of Mary Tudor's hair, finds from the town's ruined abbey and displays on the chilling Bury witch trials. They also run excellent talks and activities.
Look out too for displays on one of England's most notorious murders – that of Maria Marten in the Red Barn at nearby Polstead in 1827. A huge crowd gathered in Bury to see her murderer hang.