Fe-based pnictide and chalcogenide superconductors have reinvigorated research
in superconducting materials and theory, and the cuprate high temperature
superconductors continue to attract strong attention as they resist any
convincing explanation of their high critical temperature. The
strongtwo-dimensionality (2D) of their crystal structures and electronic
properties are fundamental to the proposed theories, and the relation to strong
magnetic fluctuations is evident. These materials tend to obscure several other
superconductors that present their own enigmas. Many of these are strongly
layered structurally, i.e. quasi-2D, but do not display any magnetic character
beyond Pauli paramagnetism. In this talk I will discuss several examples, viz.
HfNCl which when electron-doped has Tc = 25K, and survey specific aspects of 2D
physics that may be contributing to unconventional pairing.