The first and least practicable is not to use a solvent at all.
Water is another option, though the disposal of used, polluted water is tightly controlled.
The final green alternative is ionic liquids. Ionic liquids could make ideal green solvents. They have negligible vapour pressure, so they do not evaporate and escape into the atmosphere and are also recyclable. But low-temperature ionic fluids are very new and remain a mystery to even experienced organic chemists and chemical engineers. Compared to the 300 organic solvents widely used in the chemical industry, there are over a trillion possible ionic liquids and little or no data about even basic physical properties such as density and melting point.