Viruses, prions, and viroids are excluded from the five kingdom classification system because they are not considered living organisms - they are acellular and lack a cellular structure. While viruses contain nucleic acids and reproduce within host cells, causing disease, they are classified as non-living because they do not have their own metabolism and require a host cell. Prions and viroids are also excluded from the five kingdom system because, like viruses, they are acellular particles that can cause infectious diseases in plants but lack cells of their own.