I can't really pick one over the other. America had Bill Hicks, but Britain has Monty Python.
I'll say this though: I think Britain is better at making sure that comedy creators who are actually FUNNY get famous, while America sadly is too good at letting mediocre hacks become famous while the truly funny ones often have very little screentime, fame or proper recognition. And even when someone who's actually funny gets to have the spotlight, censors force them to tone the comedy down and making it all a bit too "conservative christian-friendly".
I'll say this though: I think Britain is better at making sure that comedy creators who are actually FUNNY get famous, while America sadly is too good at letting mediocre hacks become famous while the truly funny ones often have very little screentime, fame or proper recognition. And even when someone who's actually funny gets to have the spotlight, censors force them to tone the comedy down and making it all a bit too "conservative christian-friendly".