I'm up for more suggestions on this one - hopefully without things turning into a 'parents vs the childless' clusterbumble!
I adore kids (most of the time!) myself, but am at the same time an adult who has made a conscious decision not to have any.
This, combined with a sensitivity to loud noise and haphazard chaotic environments, seems to mean I'm a bit limited for where to go for daytime/early evening drinks/meals in this area without feeling a bit frazzled.
Ones I can think of and like, offhand:

The Catford Constitutional
The Dartmouth Arms
The Honor Oak (I don't have a prob with the acoustics towards the back/righthand side, or in the restaurant)
Mr Lawrence and the Beer Dispensary

I think it's great that a lot of places nowadays are more child-friendly, but it would be pleasant to be able to go to a nice grown-up, chilled, old-fashioned sort of place too (thinking of the discreet chintzy places in books by writers like George Gissing and Patrick Hamilton.......without all the misery tho! )