Fun first date ideas in London?

Coffee is a bit boring and potentially awkward on a first date, anyone know of some fun activities to do in London that won't cost me an arm and a leg? Something like crazy golf would be cool, a petting zoo(thats cheap), feeding animals, bowling, or something like that... We're both 22 btw, personally I'd enjoy doing those things but I dunno if some girls would find it quite immature???

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