Go to Harvard Yard, the Harvard museums. Have cake and coffee at The High Rise Cafe on Brattle St. Go to the MIT Museum. Watch an independent film at the Kenmore Square Cinema. Go to the Central Sq nightspots - River Gods, Zuzu's, The Middle East.
Boston, apart from the Back Bay, the Common, and the Aquarium, is a bit boring and touristy. If you're from England, the historic sites won't seem very historic.
Central Sq - Harvard Sq on the subway red line
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