a local one that always drives me nuts is 'The Two Halve's' pub in Sydenham High Street, aaagh
It's worse than that. The pub is actually called "THE TWO HALF'S". At least as bad is a cafe in Kirkdale called "CAF'E JASMINE".
Some years ago, when googling "Sydenham", I became increasingly irritated by a site called "Sydenham Tattoo's". Eventually I emailed the owner to explain politely that "tattoos" doesn't need an apostrophe. We had a vigorous exchange, but eventually agreed to differ. He explained patiently to me that it did need an apostrophe because it belonged to Sydenham!
However, several months later I noticed that the apostrophe had been removed from their website, and from the shop itself. So, a small victory for the pedants.