In my long/extensive experience with strip clubs, not just in London but all over the world, contact and exactly usually boils down to the individual girl & money, rather than the club itself.
I have fingered very hot strippers in Platinum Lace in Piccadilly, had a blow job off a stunner in Rhinos in Las Vegas, but also not been allowed to touch in Browns, but getting a mouthful of tits in the Griffin.
My advice is don't go for the super hot girls, just the next level down, buy them a drink, have a laugh then go for 2/3 normal dances back to back & if you picked well & are not a smelly, rough/aggressive scumbag, who is continually grabbing at the girls, you will more often than not get a fair amount of extra attention. The level this reaches depends on the girl & will make for a good night that just about passes for value.
Whatever you do, don't waste your time/money going upstairs for an hour dance, me and my mates have never had more contact upstairs than behind a curtain in the first level dance areas, but you will pay hundreds for the privilege.
Ultimately it is never going to come close to the value & quality you will get from a good punt, but that's not something you can necessarily turn into a whole night out or a night out with the lads, so the strippers still serve a good purpose. Although, nowadays I have to go for a punt after a night at the strippers anyway haha.
Platinum Lace would be my 1st choice, lots of very sexy girls in there & some very liberal too.