The material excess of supermodernity can be seen in the overabundance of things, the emergence of monstrous artefacts and the proliferation of waste. With regard to material overproduction and consumption, this cannot be understood with its opposite: material impoverishment. Archaeology attests to both extremes. Hyperproductivity, in turn, goes hand in hand with the increase in the number of monstrous objects. These are conceptualised here as excessive things whose aberrant nature can be defined in physical, ontological and moral terms. Waste is also the consequence of material proliferation and the most eloquent proof of supermodern excess in general. Mass production, consumption and waste have not yet been able to create a homogeneous world. A variety of atmospheres can still be found: archaeology can help to document the rich and diverse material environments of our era.