Is there a real place that the Dursleys' address was based on? We know in-world that they lived at 4 Privet Drive in Little Whinging, Surrey. Does Rowling ever let us know if there was a real world street she based their neighborhood on, if it's not an actual real place?
In-universe, it's probably somewhere near Staines.
This article in the HP Lexicon gives a very good argument for Little Whinging (the location of the Dursleys' house) being roughly where it's shown on this map, in the far north of Surrey close to Staines.
It was filmed in Martins Heron, Berkshire.
The filming location, meanwhile, is No. 12, Picket Post Close, in the village of Martins Heron near Bracknell in Berkshire. Here's a screenshot from Google Street View, so you can see it's the same:
Although I describe the Dursleys' house as big and square, as befitted Uncle Vernon's status as a company director, whenever I wrote about it I was unconsciously visualising the second house I lived in as a child, which on the contrary was a rather small three-bedroomed house in the suburb of Winterbourne, near Bristol.