list.index and list.count currently only accepts values of the element type and Sequence.index and Sequence.count use Any for the type of the argument. In my opinion all of these functions could safely take object.
dict.get and Mapping.get currently only accepts values of the key type. This could be safely extended to be any Hashable object. Non-Hashable values will raise TypeError, but runtime safely accepts values of any other type. I ran into someone on the gitter who needed this a few weeks ago, but he never opened an issue.
I would be willing to make a PR for this.