I havent bothered to hook up my 360 since moving so I'll be getting it on PS3...unless it is an absolute trainwreck on there, in which case I'll be digging out my 360.
Ive got amazon prime but you should be able to select release day shipping in checkout (it will say in bold green "delivery on release day" or some shit.
Prime gets me free shipping and usually next day delivery depending on the the time of week and product.
I dunno how much value is really there anymore since Amazon pretty much delivers everything in under 3 days...but I like having one day delivery b/c I'm crazy like that.