there are tons of game out there that i would classify as that, just google search it and you'll find some.

that recent Moon Chronicles game seems like one.

Basically this.

I'm personally expecting either the Moon remake for the 3DS to be also on the Wii U, or a port of the Dementium game they have on Steam. The former would be nice, the latter would probably suck.

Either way, it's still better than nothing.

So you think that Metroid Prime is more like Myst than an FPS?  I guess I'll just have to disagree then.  FPA seems to be an amalgam of different genres that were perfectly defined before and had no reason to be tossed together.  First Person Puzzle games, First Person Stealth games, and a few First Person Shooters that people decide for one reason or another shouldn't be thought of as FPS games like Half-Life, Bioshock, and Metroid Prime.  

Don't mean to butt in, but I just call Metroid Prime an action adventure. It plays very much like Super Metroid in three dimensions. And you wouldn't call Super Metroid a shooter.

I would call it a legitimate sub-genre.  Some other titles would include the Bioshocks, and I would also include games like the later Myst titles or Turok.  There is no doubt that the pacing, exploration and style of a title like Metroid or Bioshock is very different from a Halo or COD.  Whether it's 1st person, 3rd person, side-scroler or 3D, I would suggest action titles or "shooters" tend to be straight-line affairs, while Adventure games involve back-tracking and/or exploration.

Please not an indie game.
i dont do indie games...

I want a real release good FPS

Metroid Prime 4!

Seems like a pretty flimsy definition that is not easily differentiated from other titles.  Then again I suppose it fits along with games like Unchated being defined as Action/Adventure instead of Third Person Shooter which they clearly are.  People think that Adventure makes it sound different and less like the plethora of titles that are out there.  Which means that any time a shooter doesn't fit within these predefined norms it gets called something else and people wonder why all shooters all the same.  Reminds me of JRPGs and how they're so stringently defined by some and then people question why they never change.  It's simply because by definition they can't change, or they'll become something else entirely.

All that said, I like your idea of Adventure titles being defined by the amount of backtracking and exploration involved, but I think it's more useful for games that are obviously first person adaptations of classic adventure titles such as myst and Gone Home versus games like Metroid and Bioshock which are First person adaptations of action/adventure in which the action portion has been replaced with pretty standard FPS shooting mechanics.  I could see First Person Shooter/Adventure maybe, but I think FPS is a far better definition than grouping these titles up with true FPA games.   

It will be announced tomorrow. Take a look at this. http://www.renegadekid.com/