and there are also some shows on the strand (street) like STOMP (which i saw there ) and CHICAGO (which i saw there WITH BROOKE SHIELDS too)
i personally like broadway better, but i like stage dooring better in london: if brooke shields were in NYC doing CHICAGO, it would be a stage door "mob scene" (as brooke herself put it :) ) but there were literally only about 10 other people besides us there at the stage door which was very nice, and very personal with the actors. we were able to talk to brooke and she even told us if we saw her again in nyc we could have just asked for her manager, and we could have gone right up front to meet her (and possibly go backstage)...but we never went and saw her then
so yeah, that is my west end thought/wording/question mark for what it would be called