Bloodborne looks promising for Ps4 (release in about 22 days) If you like the Souls games (Demon's and Dark souls I and II) this game could/should be for you - the gameplay video got me pretty hyped (even though I have no PS4 ..yet !)

the order 1886 ;)

If PS3 games count (assuming PS4 is backward compatible and/or they are on PSN store) there are some worthwhile ones to check out by thatgamecompany as well as a few others (Dark Rain, Uncharted, Catherine)

Well, it is a PS3 game series; but check out the Uncharted series.

BTW - I notice you are a fan of Parasite Eve!

Bloodborne, It's not out yet, but I really loved the dark souls series. If I would have the money I would buy a PS4 for this game alone :P

The Last of Us Remastered has really great multiplayer. The story is garbage though.

InFamous First Light is alright.

There aren't enough console exclusive games which would worth the money to buy a console right now. maybe The last of Us and The Order as the folks were wrote before, on Xbox Forza 5, ryse or Dad Rising but they are not really good games. You should probably wait 1 or 2 more years until something really cool comes out. (Like Uncharted 4)

Final Fantasy Type-0 comes out in a couple weeks on PS4 & Xbox One. It also comes with a Final Fantasy XV demo and that was a big selling point for a lot of my friends. Just pre-ordered it myself for ps4 so I hope it's fun. It looks pretty good. I really like the capes and skirts combo that the characters wear lol :p

Metroid Prime, Star Wars: Rogue Squadon II, Eternal Darkness, F-Zero GX, Starfox Adventures, The Twin Snakes, Luigi's Mans- oh, sorry, I thought you meant Gamecube exclusives.

woth it? Here:
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Sunset Overdrive was actually a very fun Xbox One game if you are into 3rd person sandbox games. It's pretty fast paced, lots of running and jumping, with shooting and melee combat. It's got a lot of charm to it, I absolutely loved the whole concept that the main character breaks the fourth wall the whole time. As much as I loved the original Crackdown game, I thought that this game did a lot of things better. It's not GTA 5, but for a new sandbox IP, I thought it really held up to a lot of the hype it was getting pre-launch.

Screamride that just came out is an absolute blast to play for Xbox One and Xbox 360! Though it doesn't fall into any of your categories above, it's a very fun game to just sit back and play while you are passing some time. The game is from the original creators of the PC Roller Coaster Tycoon games, and it shows, but plays nothing like them. Instead of building an amusement park, the game is split into 3 main game modes.

• The first mode has you riding a roller coaster, but you have some control over the ride, you can collect boost to make yourself go faster as well as leaning into turns or popping your cart onto two wheels, you can also cause riders to fly out and destroy the environment around the coaster. You gain points for combos and for how fast you go, scoring points for the screams your passengers make, and big points at the end since they usually have you launching off the track into some kind of destructible building.
• The second mode has you using this catapult/sling like ride which you can swap out the carts in, different carts do different things. The goal to this mode, destroy everything you can with all the carts you have. You control the speed of the ride will launch the cart at, as well as the direction you'll fling it. There will be all kinds of things to hit, like buildings and skyscrapers, targets, billboards, blimps, boats, cars, people, and other things. You get points based on the destruction you cause, combos for destroying multiple buildings in one shot, hitting hard to hit targets, and other things.
• The third mode has you actually build your own roller coasters, usually around pre-built buildings and attractions. The game has all kinds of crazy track parts to use as well as allowing you to free-form however you want to build it, allow you to place boost and breaks, loops, corkscrews, and other crazy things. The goal for this mode is to build a track that runs at least a certain distance and/or height, you get points for using the pre-built loops and stuff, as well as speed bonuses, as well as screams, a big end bonus if you keep all your riders in the ride, though sometimes, you can score even bigger points if you purposely make parts of the track that eject riders into the environments to destroy them.
  The game just came out today, but so far it's been a blast playing. There is also a demo for this game, if you feel like checking it out.

Project Sparks is real fun, though it's also out on PC for Windows as well (and it's cross play... kinda). The stock game is free, though it's more of a game engine. It has a Fable vibe to it with looks and the way it plays out, so a 3rd person action/adventure RPG. The stock game shows off a lot of it's core features through what they call Crossroads, which is kind of like a choose your own adventure style game, where you are given different choices and the game makes it up as you go.The game engine itself can be used to create your own games, which you can share with the community, meaning you can download other people's work. The game also allows you to download and remix other people's work if you want as well. The game is heavy on DLC, with many different packs that add new items to be used into the game engine, to be played or used to create, however, the game allows you to purchase this DLC with either real world cash or you can unlock it buy spending in-game money you'll make for doing all kinds of stuff. It can be time consuming to go this route, but if you just keep playing others people's work, creating your own, or just playing the crossroads, you'll gain up that cash in no time.

I know there is God of war for ps3 if you can play ps3 games in ps4
and uh... destiny was a fine game

If a running and gunning game is what you seek then check out Sunset Overdrive. Its actually quite fun. It's like if Tony Hawk meets Grand Theft Auto. But some people see a deal breaker with the adult humor but its stuff most children wont know about unless they google it.

Blooooooooooooooooooooodborne