Non-linear sigma models on coset superspaces appear in a variety
of physics problems, including string theory in AdS backgrounds.
In spite of their relevance and remarkable features, the
exploration of supercoset sigma models is only just beginning.
At the example of superspheres $S^{2N+1|2N}$ and complex
projective superspaces $CP^{N-1|N}$, I shall describe some recent
results, in particular on the spectrum and certain correlators of
supercoset theories. Special emphasis will be put on finding
weakly coupled (non-geometric) duals to sigma models with strongly
curved bosonic base.