  The recently proposed supersymmetric extensions of reduced
Kadomtsev-Petviashvili (KP) integrable hierarchies in $N =1,2$ superspace are
shown to contain in the purely bosonic limit new types of ordinary
non-supersymmetric integrable systems. The latter are coupled systems of
several multi-component non-linear Schr{\"o}dinger-like hierarchies whose basic
nonlinear evolution equations contain additional quintic and higher-derivative
nonlinear terms. Also, we obtain the N=2 supersymmetric extension of Toda chain
model as Darboux-B{\"a}cklund orbit of the simplest reduced N=2 super-KP
hierarchy and find its explicit solution.
