I'm doubly confused!
First of all, VAT most definitely applies to people who live in the UK. You pay VAT on most items that you buy in the shops (except food, books, newspapers and a few other things). You pay VAT on everything you eat and drink in restaurants and pubs. You pay VAT on your car parts and servicing (unless, possibly, it's a one-man business with a very low turnover, so that he doesn't have to register for VAT), you pay VAT on any building work you have done (with the same exception for small businesses). Indeed, with very few exceptions, you pay VAT on ALL goods and services in the UK.
So I'm confused as to how you could think that you wouldn't pay VAT on something from Game. (Prices on goods and services normally INCLUDE the VAT but firms who supply goods or services on a 'business to business' basis, or who offer such goods or services to customers both in the UK and abroad, are permitted to advertise 'non VAT' prices and then add the VAT on at the end where appropriate).
However (with a few exceptions) the current rate of VAT is 20%. So on a £330 purchase I'd expect to see £66 VAT charged, not £50. (So that's why I'm confused again!). The only reason that I can think of is that part of your order is VAT-exempt (or zero-rated), such as books.