I will report about the recent progress in modeling stationary self-gravitating tori (disks) around black holes. Special emphasis will be put on general-relativistic Keplerian rotation in self-gravitating gaseous tori and the interaction between the angular momentum of the torus and the spin of the black hole. I will describe a very recent construction of magnetised self-gravitating stationary tori around black holes. If time permits, I will also discuss general-relativistic effects characteristic for very massive tori: bifurcations in the parameter space of solutions, toroidal ergoregions connected with the tori, the appearance of local maxima of the circumferential radius.