Fallout: New Vegas Ultimate Edition
Not from a disc since the PS4 is not backwards compatible with PS3 discs. You will need a ps now subscription to stream the base fallout new Vegas game without any dlc.
No, you cannot stick any PS3 disk into a PS4. However, both Fallout 3 and Fallout: New Vegas are becoming avalible on PS now, PS4's game subscription system. If you don't want to pay though, they do give you a 7-day free trial were you can download the game and play Make sure that's a week when you have a lot of free time otherwise you wont be done with the game before your free trial ends.