The present "state of the art" in the search of superfluidity of He-3 in quantum He-3-He-4 solutions is considered. A brief overview description of available theoretical estimates for the transition temperature is given. The singlet s wave pairing as well as triplet p wave superfluidity in the system of dissolved He-3 atoms are discussed. All theoretical calculations are treated in connection with, and in view of available experimental data obtained from attempts to detect the superfluid phase transition in dilute mixtures. The prospects to increase the critical temperature when polarizing the He-3 component are also considered. The exotic superfluidity of He-3 in dilute mixtures in confined geometry, connected with the creation of (He-3)2 dimers and "bosonisation" of the He-3 component, is described. Under these conditions a large variety of new phase transitions appear and the critical temperature for some of them may be rather high.