  Non commutative superspaces can be introduced as the Moyal-Weyl quantization
of a Poisson bracket for classical superfields. Different deformations are
studied corresponding to constant background fields in string theory.
Supersymmetric and non supersymmetric deformations can be defined, depending on
the differential operators used to define the Poisson bracket. Some examples of
deformed, 4 dimensional lagrangians are given. For extended superspace (N>1),
some new deformations can be defined, with no analogue in the N=1 case.
