An interesting question! There are scimitar bladed propellers. This se-aviation question has two answers giving an excellent brief summary of the advantages of these props, and also their disadvantages or limitations. In general, the advantages are higher tip speeds and reduced shock, which reduces drag, as well as net slightly smaller prop diameter, compared to straight bladed props, which reduces vibration and noise. The curved shape of the blade provides a small increase in prop efficiency. The disadvantages relate to torsion, or twisting, of the blades due to the distribution of thrust along the length of the blade. This twisting tendency is manageable as long as the sweep back of the blade is gentle and not excessive.
Scimitar propellers have been around for a long time. They are in common use on many general aviation aircraft.