Nice old trees, lots of space, good for walking, running, hanging out with your kids and most of all, the perfect place to lie in the grass and chill out.
The Barbican is worth visiting for it's brutalist architecture alone. The concert programming is really diverse; it's home to the BBC Syphony Orchestra, but you'll also find bands like the Dirty Projectors and the National amongst the classical and contemporary composer line up. Plenty of art, dance and theatre too, however, the Conservatory is the real gem that's not to be missed.
A treasure trove in the The City of London. The Archive of London. Strongrooms hold kilometres of shelving; boxes of matter that has somehow been catalogued and categorised in a traceable manner by the public, for academic, genealogical and other research. This beautiful book is from a box on Epping Forest. On the same visit, I looked through photographs of Blitz singsongs in Bethnal Green Underground station, 1980s anti-Thatcher / pro-GLC gig posters and paper concertina optical models of the Crystal Palace.