We investigate how continental European unemployment can be reduced without reducing unemployment benefits and without reducing the net income of low-wage earners. Lower unemployment replacement rates reduce unemployment, the net wage and unemployment benefits. A lower tax on labour increases net wages and - for certain benefit-systems - unemployment benefits as well. Combining these two policies allows to reduce unemployment in countries with net-Bismarck and Beveridge systems without reducing net income of workers or of the unemployed. Such a policy becomes self-financing under realistic parameter constellations when taxes are reduced only for low-income workers.