Okay, I've just taken me, myself and my PowerBook to the Apple Store on Regents Street, to see if the problem is with my laptop...
And it isn't. So the only thing I can think of is that the problem lies with my Netgear DG834G Wireless router. It is just so odd that the problem only happens with Apple sites... (Apple.com, .Mac, Software Update, Mail). None will connect to Apple.
I tried Pinging Apple's site, and running Routetrace, but no luck. There is a new beta firmware for the router, which I will try and update to once I get home.
It's just so strange. Does anyone know if Microsoft has bought Netgear? 🙂
Thank God I only live 15 minutes away from the Apple Store.