national theatre/west end/royal court theatre - if you wanna watch a play but check what’s on before hand
national portrait gallery and national gallery - they are close to each other so could be a 2 in 1 thing
barbican centre - performing arts centre that host concerts, art exhibition, film screenings and art exhibitions
depending what time you come ice rinks might be the move, i rec alexandra palace for that. there might also be christmas markets open.
tate modern
museum of london docklands (thanks Baby for making me double check this)
prince of peckham - a pub that’s also a venue. they usually have game nights on monday, there‘s also comedy nights, karaoke, sip n paint. so i’d say check what’s on before you go
the ritzy - cinema that also host community events throughout the week
orii jam - jam sessions for rappers, poets, singers, djs etc, monday it’s in hackney wick and tuesday it’s in peckham
kensington gardens
bfi southbank - THE cinema in london with a cafe bar, a library and a gift shop. also there’s the london film festival 9-20th october which they are hosting and tickets are on sale from 17th september
brick lane market