Antium

I can think of way more than five. These are the first ones that popped into my head when I saw the question.

Legend of Zelda: Majora's Mask

Homeworld 2

Half-life 2

God of War: Ragnarok

Alan Wake 2

No worries! If you need anymore let me know. That was the first 3 that popped in my head from the types of games that you were looking for.

The Alters: This is a survival base building game, with some automation. You and yourself and your other selves are stuck on an asteroid and are trying to keep your base out of the Sun's path while collecting materials and resources to keep going. Minimal 'combat', mostly avoiding anomalies.

The Long Dark: A survival game where you are in the frozen northern Canadian wilderness and you need to hunt/gather and stay warm. There's a storymode to play through, challenges to go for, or just try the survival mode. Minimal combat, avoid wolves, and bears.

Graveyard Keeper: Base building game with a bit of automation if you have one of the DLCs. Build up a graveyard, while trying to figure out how you got here and how to return home. A lot of tongue and cheek humor. It's similar to Stardew Valley but instead of making friends you help them out to help yourself. There is combat in the game but it is very basic.

Second Sight on PS2 came to mind after reading this. I don't think I have ever seen anyone talk about it.

Faith: The Unholy Trinity

It's an 8-bit horror game. Not sure if this is what you are looking for. I definitely recommend it if you are not put off by 8-bit graphics.

As in I wake up as the character or wake up in the same place as them as the character?

Last game I played was Green Hell, so if I wake up in the Amazon, I think I'll be dead pretty quickly.

If I just wake up as Jake, I should be okay if I didn't go to sleep with worms, parasites, leeches, poisoned or a bite by a venomous creature.

Sidenote: Is venomed a real word?

I believe in the Metro (Metro /series you at some point fight/kill some Nazis. They aren't the main enemy but there is a faction of them for you to kill.

My rarest achievement is from The Long Dark (Finely Tuned) at 0.1%. But that's because not many people played the last episode when it came out.

My most memorable is from Titanfall 2 (...Becomes the Master) Place in the top 3 of the Gauntlet scoreboard. That one is at 2.9%

That looks familiar to a game I played back in mid 2000's. The UI looks similar but I think it was white not red. Dark War, or Dark something: War.

First would have been Roll Caskett from MegaMan 64/Legends

Hello fellow Newfoundlander! I was just about to comment the same thing when I saw jigs dinner!