Does anyone know a game, such as the following.

[Ted]

Terraria is a bit like that. Maybe try Sims Castaway? I believe you can build a house in that, and you have to collect materials.

Yeah, the sims castaway is a good game whenever you need to kill time.

Can't remember whether I finished it or not though, I think you can choose if you want to continue living on the island or get rescued at the end of the game, not sure though.