I personally like the kind where you are marooned in the wilderness (ideally an alien or fantasy wilderness) and have to build a 1-person civilization from sticks and stones.
Is the "1-person" part required for your personal enjoyment?
Being alone can definitely add to the ambience. But even if you had a small (NPC) party with you, predominately you explore alone.
Alternatively, each NPC could split up to survive on their own, and you could unexpectedly come across them still alive or ripped to shreds in your own exploration.
Though, honestly, coming back to the "Swiss Family Robinson" aspect, it would genuinely be interesting to have to protect and provide for your family in a survival game. You choose your gender, and your spouse for some reason can't travel far - maybe breaks his/her leg in the crash (or whatever), so your spouse protects the kids in the shelter you've built, while you forage for food, and etc...
Imagine managing to survive and set up a shelter, when suddenly before your eyes, your 14 yo daughter gets dragged off into the underbrush by raptors.
And since your survival is the goal, and them dying isn't an explicit fail condition, you can ofcourse just abandon them or shoot them if that's your play style. (Or just uncheck "Family" when starting the game).
PvE focused, where monster hunting is all about gathering crafting mats.
What's a crafting mat? Oh, crafting materials. *facepalm*
Definitely no crafting high tech items and no guns. 3rd person RPG, whether with turn-based tactical combat or spellbar/cooldown combat.
Not first person, for increased immersion?
I like the idea of starting off with a few guns, with limited ammo, so as your carefully conserved ammo depletes, the game naturally increases in difficulty. Obviously you can't find any more ammo within the wilderness, only the... say, shotgun (8 shells), rifle (12 cartridges), and pistol (1 clip - 16 bullets). Once you're out of bullets, I guess you can try to use them as a club.
(And you can just uncheck "Starting gear" when starting the game)