Oh, I o get bored saying this, but-
"I know by reading on mumsnet that there are state primary schools that offer lots of competitive sports, music, small class sizes, languages and a huge variety of oppotunities but sadly having visited all the schools in a 10 mile radius I couldn't find any"
Of course you couldn't find state schools that offered all of that. That's what you're paying for!!!!!!!!!
Nobody (are you listening, HG) says that state schools can provide everything that private schools can. Give them an extra 35k a year per child, though, and watch what happens!