St Margarets, Richmond, Kew, Chiswick are all pretty "villagey". Hampton Wick and Surbiton also seems really quiet, leafy, and suburban, yet still have decent access to central London.
I second Wimbledon Village though! It's really a fantastic area. We are renting in Kew, but are in the middle of house hunting as first time buyers. While we would love to stay in the Richmond area, we just can't afford anything decent in the area. We have focused our attention on Wimbledon for ease of commute, and because we love the area.
Not sure how much time you've spent in London, but I personally found that it took some time living here to be able to "read" an area. Once I had seen and experienced more of London, I had more of a reference point when trying to get a feel for an area. We lucked out when we sort of blindly moved to Kew. Though people always told me how nice it was, it just seemed like everywhere else to me. Now that I've lived here for nearly two years, I have so much of a greater appreciation for the area.