  Anisotropic pairing interactions mediated by phonons are examined in layer
systems. It is shown that the screening effects become weaker when the layer
spacing increases. Then the anisotropic components of the pairing interactions
increase with the screening length since the momentum dependence changes. As a
result, various types of anisotropic superconductivity occur depending on the
parameter region. For example, p-wave superconductivity occurs when the
short-range part of Coulomb repulsion is strong and the layer spacing is large.
Two kinds of inter-layer pairing may occur when the layer spacing is not too
large. Although the phonon contribution to the d-wave pairing interaction is
weaker than the p-wave interaction, it increases with the layer spacing.
Relevance of the present results to organic superconductors, high-T_c cuprates,
and Sr_2RuO_4 is discussed.
