We spoke to Fumihiko Yasuda, head of Team Ninja, about the collection and the future of the long-running series.
Many fans were left puzzled as to why the original versions of the games weren't included.
The Digital Deluxe Edition contains a digital artbook and the game's soundtrack.
This is according to a Microsoft Store listing.
The collection includes Ninja Gaiden Sigma, Ninja Gaiden Sigma 2, and Ninja Gaiden 3: Razor's Edge.