After being announced earlier this month, Neverwinter has finally gotten a PS4 release date: July 19th.
However, you can get in a week early on July 12th if you're so inclined as to purchase the Head Start pack for $19.99, which in addition to early game access will give you a special Onyx horse mount, an Onyx weapon pack, 20 enchanted keys and more.
The previously announced Storm King's Thunder (unrelated to that freaking Dark Souls boss) will also be available on the PS4 later this year, presumably at the same time as on the Xbox One.