The Deluxe Edition of the board game came with a soundtrack CD and several other items, and was sold by Amazon and the Rising Star Games webshop. It contains less extra items compared to the Chief Sheriff Tier Kickstarter exclusive Deadly Premonition The Board Game (Special Edition).
The included soundtrack came in a cardsleeve and looks different to that which came with the 2015 Deadly Premonition Classified Edition, but the track list is the same. A list of all the other items included can be seen on the picture of the back of the box.
1. Front of box
2. Back of box
Thanks to Amazon (images 1-2).