In my eyes, an Adapter and a Shim would be the same.
A Facade on the other hand serves a different purpose. If you expect your client code to need to be able to pull back the curtain, so to speak, and access the underlying library without using your object model, that would be a Facade. Facade presents a simplified or common set of objects/methods on top of a more complex system, but still provides access to the underlying complexities when additional behavior is required.
The use of Adapter means your client code is completely, blissfully unaware of the underlying implementation details.