Large and giant DNA viruses of the phylum Nucleocytoviricota have a profound influence on the ecology and evolution of planktonic eukaryotes. Recently, various Nucleocytoviricota genomes have been characterized from environmental metagenomes based on the occurrence of hallmark genes identified from cultures. However, lineages diverging from the culture genomics functional principles have been overlooked thus far. Here, we developed a phylogeny-guided genome-resolved metagenomic framework using a single hallmark gene as compass, a subunit of DNA-dependent RNA polymerase encoded by most Nucleocytoviricota. We applied this method to large metagenomic data sets from the surface of five oceans and two seas and characterized 697 non-redundant Nucleocytoviricota genomes up to 1.45 Mbp in length. This database expands the known diversity of the class Megaviricetes and revealed two additional putative classes we named Proculviricetes and Mirusviricetes. Critically, the diverse and prevalent Mirusviricetes population genomes seemingly lack several hallmark genes, in particular those related to viral particle morphogenesis. Instead, they share various genes of known (e.g., TATA-binding proteins, histones, proteases and viral rhodopsins) and unknown functions rarely detected if not entirely missing in all other characterized Nucleocytoviricota lineages. Phylogenomics, comparative genomics, functional trends and the signal among planktonic cellular size fractions point to Mirusviricetes being a major, functionally divergent class of large DNA viruses that actively infect eukaryotes in the sunlit ocean using an enigmatic functional life style. Finally, we built a comprehensive marine genomic database for Nucleocytoviricota by combining multiple environmental surveys that might contribute to future endeavors exploring the ecology and evolution of plankton.