When is minecraft coming out for ps4?

Sadly, niether Mojang nor 4Jstudios have realeased an exact release date the PS4 nor Xbox One version of Minecraft. Sorry.

There's been no announcements on an actual release date yet (not even an estimated year), so you have to wait a little longer

There's no release date yet but they said it is "very close" to being finished. I estimate sometime this month, if not, then May. They were a bit slowed down by the PS3 and XB360 updates but now they can 100% focus on next-gen versions.