From London for two nights with not too much travelling but good amount of history:
Oxford - Bodleian Library, Ashmolean Museum, punting, Pitt Rivers Museum, colleges, Bridge of Sighs, Oxford Castle
Cambridge - Kings College Chapel, Mathematical bridge, punting, Bridge of sighs, colleges, Wren Library
Bristol - SS Great Britain, Banksy / street art tours, M Shed, Cabot Tower, St Nicholas’ Market, Red Lodge Musuem, Bristol Museum
Bath - Roman baths, Bath Abbey, Pulteney Bridge, Thermae spa, Jane Austen Centre, Royal Crescent, The Holburne Museum, House of Frankenstein
Canterbury - Canterbury Cathedral, Westgate Gardens, Sir John Boys House and Bookshop, St Augustine’s Abbey, Beaney House of Art and Knowledge
Brighton - Royal Pavillion, The Lanes, Brighton Pier, i360, Brighton Musuem and Art Gallery, Brighton Flea Market, Beacon Mill
Chichester - Chichester Cathedral, Weald Living Musuem, Novium Museum, Bishop’s Palace Gardens, Pallant House Gallery, Tinwood Estate Vineyard
Winchester - Winchester Cathedral, The Great Hall, Winchester City Mill, Westgate Musuem, Jane Austen’s House, Hinton Ampner
Salisbury - Salisbury Cathedral, Old Sarum, Mompesson House, Old Wardour Castle, Stonehenge and Avebury
Stratford upon Avon - Shakespeare’s Birthplace, Royal Shakespeare Theatre, Anne Hathaway’s Cottage, Bancroft Gardens, Tudor World, Holy Trinity Church