I've done a bit of trying to find stuff my 2yo DD can do in/near London when it's wet and/or cold.
Love to hear more ideas, but so far I have found these places, all of which I'd recommend:
BLUE KANGAROO in Fulham - great food for adults and kids and soft play:
www.thebluekangaroo.co.uk/
IT'S A KIDS THING in Earlsfield - standard cafe food, but nice little soft play centre and one for under 2's! You need to book ahead:
www.itsakidsthing.co.uk/
SEVENOAKS LEISURE CENTRE - there is a toddler gym between 9.30 and 11.30 on Monday with soft play and tricycles:
www.sencio.org.uk/pdfs/slc-play.pdf
The leisure centre is also next to Knole Park & Knole House (www.multimap.com/map/browse.cgi?lat=51.2715&lon=0.1961&scale=10000&icon=x) so you can go for a pleasant stroll around the grounds afterwards!
TREASURE ISLAND SOFT PLAY in Swanley:
www.sencio.org.uk/whiteoak.asp
www.sencio.org.uk/pdfs/wolc-play.pdf
GAMBADO in Beckenham: www.gambado.com/beckenham_play.html
HUGO'S play centre in Richmond:
www.hugosplaycentre.co.uk
BRENTFORD FOUNTAIN Soft Play area (close to Kew Bridge station):
www.hounslow.info/page.aspx?pointerid=BED1BF27A58E41D594AFB1212C39454B&thelang=001lngdef
EDDIE CATZ in Putney:
www.eddiecatz.com/edcatz.html
I know it's a bit heavy on the soft play, but I'm stuck for inspiration. Anyone got any more ideas for nice days out when it's wet?