Among the numerous human remains found in circular pits belonging to the fourth millennium BCE cultures north of the Alps, there are many examples of bodies laid in random (or unconventional) positions. Some of these remains in irregular configurations, interred alongside an individual in a conventional flexed position, can be considered as a ‘funerary accompaniment’. Other burials, of isolated individuals or multiple individuals buried in unconventional positions, suggest the existence of burial practices outside of the otherwise strict framework of funerary rites. The focus of this article is the evidence recently arising from excavation and anthropological studies from the Upper Rhine Plain (Michelsberg and Munzingen cultures). We assume that these bodies in unconventional positions were not dumped as trash, but that they were a part of the final act of a complex ritual. It is hypothesised that these bodies, interpreted here as ritual waste, were sacrificial victims, and a number of possible explanations, including ‘peripheral accompaniment’ or victims of acts of war, are debated.