We review some recent advances in the rigorous analysis of mean field spin glasses. In particular we show how Parisi's theory can be generalized in the case where the spin-spin interaction is not described by i.i.d. random variables but, to some extent, it's of mean field type. We will focus on the multipecies SK model and the multiscale SK model, presenting the variational formulas for the free energy with a sketch of the proofs.
