I live in Bristol.
Pubs with historical interest and/or odd names- the Llandoger Trow scores fairly highly in both counts; dating from before 1700, and supposedly being the inspiration for Treasure Island. Don’t ask me how to pronounce it either. I’ll be honest and admit I’ve not actually drunk (beer or zoider) there though.
There are very few ‘proper’ old pubs in the centre, but if you’re happy to wander up to Clifton or out to one of the other close in Suburbs, there’s many more options.
There’s a permanent market- St Nicks- which is not open Sundays, but has a good selection of food stalls out the back, if you’re here on a Saturday, and some interesting little shops. There’s often a street market outside the front as well, though not a very big one. There are Sunday markets elsewhere, but none are really worth going any distance for.
The cathedral is not very interesting*, but the (often confused for the cathedral) St Mary Redcliffe church is nicer, and more impressive, with good stained glass and that sort of thing (if not as interesting as Wells, but that’s a good hour’s trip away by car, half the day by bus).
There are several museums around if it’s old houses you like, the Red Lodge has two excellent things going for it- it’s a short walk from the centre, and it’s free!
Do not expect to admire the fountains, unaccountably advertised in many info leaflets. They’re worth laughing at, but that is all.
The bridge is pretty, and there’s some nice woods and parkland just over the other side. It seems to have lost favour as a suicide spot; though remember local bylaws forbid the flying of planes under it. Clifton generally is quite nice; it’s a bit posh, and full of students, but during the day, it’s very pleasant (at night half the students get drunk, and it becomes less pleasant).
If you have any more specific questions, feel free to PM me!
- (though far from the worst in the UK- try Lancaster’s some time. In fact, try finding Lancaster’s for starters; it’s not the lovely old church up on the highest point, it’s a 70s concrete lump hidden down a side street.)