HSBC

This particular HSBC branch is pretty handy if you live in this end of town, as it offers most facilities larger branches do with the bonus of usually being dead quiet. In fact this dead quietness can go the other way sometimes — as in you may go in for a quick query and get way more attention than you intended/​than you were in the mood for!
When I lived near Seven Dials I went to chat to someone about setting up a joint bank account, and I went another time for a bank draft — both times I was sat down at a desk whilst a very patient member of staff chatted to me — one time she even stayed a bit past closing time to finish something! I’m not too fussed about this face-​to-​face thing, being of the internet age where it’s just a bit of a chore to have to physically do something! But I appreciate this is important to some people, and it was certainly a refreshing change to the fast paced city centre banks. All in all, my best banking experience!

This is quite a quiet branch in some ways, but it has most of the modern automated machinery that we really need from our banking services these days.
I think this would be one of the best branches to come to if you needed to have an appointment to talk over your financial situation — they have the usual expertise, but seem to have a better ratio of staff to customers than usual. And there’s very rarely a queue.
Its just outside the main reach of shops around Seven Dials — must be all of three minutes away, towards Shoreham Road, so still very accessible. There are ATMs outside too.