@escowles's examples use properties that clearly belong to objects, but some may be at the level of the rights statement. Here's the list of UCSD DAMS rights properties, without dc:rights (clearly at object level):
dcterms:rightsHolder
dcterms:accessRights
hydrarights:embargoReleaseDate
hydrarights:visibilityAfterEmbargo
premis:hasCopyrightJurisdiction (@kestlund also suggests this)
premis:hasCopyrightStatus
ucsd:rightsNote
Dependency: whether data publishers can/want to create their local rights statements