  A Cram\'er-type moderate deviation theorem quantifies the relative error of
the tail probability approximation. It provides theoretical justification when
the limiting tail probability can be used to estimate the tail probability
under study. Chen Fang and Shao (2013) obtained a general Cram\'er-type
moderate result using Stein's method when the limiting was a normal
distribution. In this paper, Cram\'er-type moderate deviation theorems are
established for nonnormal approximation under a general Stein identity, which
is satisfied via the exchangeable pair approach and Stein's coupling. In
particular, a Cram\'er-type moderate deviation theorem is obtained for the
general Curie--Weiss model and the imitative monomer-dimer mean-field model.
