Dating activity ideas needed in London, UK

Hi, So I am seeing a girl, and we have done the whole "meal" thing. I'm looking for activities to do in London that would be fun. Possible ideas I have are: - Go karting - Paintballing (not a definate due to pain involved, and would have to be a game of just us 2 involved). - Hot air ballooning (only issue here is that it's just talking and not us doing anything, but of course the view is there). - Climb the O2 (may violate the "just us 2" rule I have). - Theme park (probably out of London, unfortunately). - Jet-ski-ing - Sailing Of course, some of these don't involve us actually doing anything, as mentioned. Any more ideas along these lines? Thanks

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