  We classify simple Whittaker modules for classical Lie superalgebras in terms
of their parabolic decompositions. We establish a type of Mili\v{c}i\'c-Soergel
equivalence of a category of Whittaker modules and a category of Harish-Chandra
bimodules. For classical Lie superalgebras of type I, we reduce the problem of
composition factors of standard Whittaker modules to that of Verma modules in
their BGG categories $\mathcal O$. As a consequence, the composition series of
standard Whittaker modules over the general linear Lie superalgebras
$\mathfrak{gl}(m|n)$ and the ortho-symplectic Lie superalgebras
$\mathfrak{osp}(2|2n)$ can be computed via the Kazhdan-Lusztig combinatorics.
