If you like some nice cool beer, portuguese sweets (the once with yellow custard inside) tasty and affordable sandwiches, good strong coffee and football, at all hours. Max Snack Bar is worth checking out.
In between soho and covent garden. There ares lots of great independent shops on this street. Dover bookshop, magma, super superficial and Mint to name a few. Also if you want a cheap lunch on your work break Cafe No.1 is amazing. £2.50 jacket potatoes with cheese and beans.
I love the architecture of the Barbican - it is so important to its historical context, at a time when London was being shaped for modernity after the war - they also aspired to make it a bold art centre. We need bold, always.