Is there any games out there something like the ones below??

Theres an old game called Robinsons reqium where you have to survive on what you find:

This game(below)is more basic in that its cut out story/adventure part becoming more a pure puzzle game but it has the basic finding stuff and making things to survive.
(also as the author states limited inventory space makes it a tedious game):

Also to some degree Fallout 3 gives this feeling of survival but its more illusionary than the other games above as you cant starve or get sick etc(but might give you an idea what Im liking in these games).