Peel Thin Case ($25)
Peel is the original "Super-Thin" case manufacturer. In fact, its cases are so thin most people don't even realize they have a case on. After gaining popularity with iPhone cases, Peel now offers slim cases for multiple Android devices.
Get a thin case from Peel for your new Pixel 2. They come in Black, White, or a color-matched Kinda Blue color variant, and only cost $24.99.
As a warning, these are seriously one of the thinnest cases on the market. This means that while you'll get a little protection, don't expect much. Phones can still die from drops or accidents, and the screen isn't all that safe either. It's basically a minimalistic case (in every sense of the word) for those that absolutely hate cases but still want at least a little protection, improved grip, or to cover up scratches on the back of their phone. Really, they're great cases, but there are others that are more durable.