You can help save wild birds and animals: When unwrapping bread, groceries etc., I roll up the plastic wrapping or bags that I can't reuse and then tie them in knots before binning them. This prevents animals and birds getting their heads stuck in them or, just as bad, getting them stuck in their throats while trying to eat any food still adhering to them.
Here's a great way to store your extra plastic bags such as the ones you get at grocery stores and other stores. Fold the bag in half lengthwise.