  We obtain a complete classification of all finite-dimensional irreducible
modules over classical map superalgebras, provide formulas for their
(super)characters and a description of their extension groups. Furthermore, we
describe the block decomposition of the category of finite-dimensional modules
for such map superalgebras. As an application, we specialize our results to the
case of loop superalgebras in order to obtain a classification of
finite-dimensional irreducible modules and block decomposition of the category
of finite-dimensional modules over affine Lie superalgebras.
