Amazon has announced via their Facebook page that the PS4 Launch Edition and Xbox One Day One Editions have both been sold out. Similar to what had happened at GameStop, PS4 has outsold Xbox One. The PS4 Launch Edition is at the 3rd position on the Amazon 2013 Best Sellers, Xbox One being at the sixth spot.
Standard editions of the consoles, however are available as of now but not guaranteed at release.
As announced," After a crazy and exciting month, we've sold through our initial allocations of PS4 and Xbox One. Thank you to all who have ordered and shared your opinions. We have the Standard Editions for both consoles still available, but we can't guarantee these at release. Please check back here as we'll update you first if we receive further release day allocations."