  We develop a general technique of constructing new irreducible weight modules
for any affine Kac-Moody algebra using the parabolic induction, in the case
when the Levi factor of a parabolic subalgebra is infinite-dimensional and the
central charge is nonzero. Our approach uniforms and generalizes all previously
known results with imposed restrictions on inducing modules. We also define
generalized Imaginary Wakimoto modules which provide an explicit realization
for generic generalized Imaginary Verma modules.
