A family of cell surface receptors that signal via a conserved domain that extends into the cell CYTOPLASM. The conserved domain is referred to as a death domain due to the fact that many of these receptors are involved in signaling APOPTOSIS. Several DEATH DOMAIN RECEPTOR SIGNALING ADAPTOR PROTEINS can bind to the death domains of the activated receptors and through a complex series of interactions activate apoptotic mediators such as CASPASES.