The Royal Park offers great views of London and the city; As well as housing the Royal Observatory which includes a museum of astronomical and navigational tools, part of the National Maritime Museum.
The Barbican has so much to offer! From beautiful architecture, to a conservatory, amazing art, films, music and performances. It is such an exciting and relaxing place to hang out. Even if you don't have a purpose for visiting the Barbican, it's good for just having a tea with a friend.