In earlier work, it could be shown that the limits between liquid-liquid, liquid-gas and gas-gas phase equilibria are not well defined and that continuous transitions occur. The validity of this continuity hypothesis could also be supported by computer calculations, and by studying so called "families" of binary mixtures where a constant component I is combined with a component II that is systematically altered in molecular mass, shape, structure and/or polarity. In the present contribution, our own systematic high-pressure data are reviewed and discussed from a thermodynamical and phase-theoretical point of view for some selected families where--as a rule--component I is a fluorinated component (such as CF4, CHF3, SF6) and component II is an organic substance (e.g. a hydrocarbon). In addition, spectroscopic methods (NIR, UV-VIS) up to about 100 MPa have been used to determine solute concentrations, and investigate the association behavior of selected polar substances in supercritical media. In addition, the "polarity" of some supercritical fluorinated solvents (e.g. CClF3, SF6) has been studied by solvatochromism and binary diffusion coefficients of selected solutes in supercritical media have been measured using a chromatographic method.