Could you clarify what you mean by "third party libraries"? Do you mean libraries written in Python like those [which are pure Python] on http://pypi.python.org/pypi ?
These are not all written in Python. A lot of them are actually C or C++, some are Haskell or Fortran (that's no error, Fortran). Even the ones written in pure Python often ultimately depend on something that's just a wrapper over something in another language. In fact, could be an interesting side project to determine how much of PyPI doesn't work with PyPy...
BTW I just discovered that there is a project called cppyy, as part of PyPy: http://doc.pypy.org/en/latest/cppyy.html
It looks pretty cool. When it's possible to directly use C/C++ libraries, the raison d'etre for a lot of the third-party bindings that use the C-API disappears.
Yes, I knew that. There was an implicit (now explicit) "written in Python" in my comment above.
(The purpose of my original comment was because PyPy does work with third party libraries, especially if they are pure Python, and so I was asking if these were the sort of libraries that were being referred to.)