Well, I know they've been changing their rules lately but you've got time even if you need to join some of them. I'd suggest at a minimum you look at the Hard Rock, Gala Picadilly, Golden Nugget, and Napoleon -- they are all within a very short walk of each other if you are already down at Picadilly Circus.

Then I might also suggest the Victoria, especially if you are a poker player, also one of the larger ones. None will be like you see in AC or LV but all have their charms.