Aw, I was about to type out the top open world games, but it seems you are looking for crafting games. :(
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I've been playing 7 days to die lately and it has an amazing crafting system and its open world. It has my recommendation.
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I just picked up the Rising World game. Shows some promise, you can craft some pretty detailed things.
http://store.steampowered.com/app/324080/
and Medieval Engineers:
http://store.steampowered.com/app/333950/
Both are early access, but that is what it has come down to for me :( I think I have everything else..
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Not necessarily open world, but a game based around building stuff. It would be best if it's under $2 as well.
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