The long bow! One of the earliest weapons made by man. You can make your own from Bamboo for around 3 bucks! This is pretty powerful and will be plenty adequate to hunt small game and maybe even mid size animals.
I found a great tutorial that shows you how to make a bamboo longbow so theoretically this whole bow could be made from your back yard if you grew bamboo, if not pretty much all hardware stores sell it.
Obviously this bow wouldn’t be your first choice if you needed a secondary or backup weapon for protection or hunting but it packs some punch and because it doesn’t look like a $1000 bow you could leave this out without worrying about people stealing it in a SHTF situation. Check the tutorial out in the link below