The term “biodiversity” has become well known in recent years, but much less so is the non-living or abiotic diversity of the planet, known since the 1990s as its “geodiversity.” In simple terms, geodiversity is the variety of the earth’s rocks, minerals, fossils, topography, landforms, physical processes, soils, and hydrological features. Geodiversity is part of the planet’s natural capital assets. In turn, natural capital provides goods and services to society identified through the “ecosystem services” approach. This paper gives several examples of how geodiversity brings many benefits to society that deserve to be better known by the public.