That’ll be the Anchor, Bankside, 1111.
http://www.beerintheevening.com/pubs/s/16/1638/Anchor/Southwark
Yeah that’s quite a nice place actually, good view of St Pauls. Very touristy though, although actually it’s a really nice pub to go to in January, when it’s a lot quieter. In summer it can be far too packed.
There’s another place just up towards London Bridge from there, The Old Thameside Inn by the replica of the Golden Hinde.
http://www.nicholsonspubs.co.uk/theoldthamesideinnlondonbridge/
It’s not the best place mind, the Anchor is nicer. S’ok for a quick pint or two mind.
The Dogget’s Coat and Badge is another nearby with good river views, but again, it’s a so-so pub. Lots of suits in of a weekday evening, as are most places in the City tbh.
Personally, I’m happier venturing inland, where you’ll find better pubs. Riverside is nice to sit outside in summer, but a bit chilly this time of year.
Greenwich has a couple of nice places, Trafalgar Inn, Cutty Sark being two of them. Greenwich has nice places to eat, and nice places to drink. Sometimes at the same time!