Porcine stool-associated RNA virus (posavirus), and Human stool-associated RNA virus (husavirus) are viruses in the order Picornavirales recently described in porcine and human fecal samples. The tentative group (Posa and Posa-like viruses: PPLVs) also includes fish stool-associated RNA virus (fisavirus) as well as members detected in insects (Drosophila subobscura and Anopheles sinensis) and parasites (Ascaris suum). As part of an agnostic deep sequencing survey of animal and human viruses in Vietnam, we detected three husaviruses in human fecal samples, two of which share 97-98% amino acid identity to Dutch husavirus strains and one highly divergent husavirus with only 25% amino acid identity to known husaviruses. In addition, the current study found forty-seven complete posavirus genomes from pigs, ten novel rat stool-associated RNA virus genomes (tentatively named rasavirus), and sixteen novel bat stool-associated RNA virus genomes (tentatively named basavirus). The five expected Picornavirales protein domains (helicase, 3C-protease, RNA-dependent RNA polymerase, and two Picornavirus capsid domain) were found to be encoded by all PPLV genomes. In addition, a nucleotide composition analysis revealed that the PPLVs shared compositional properties with arthropod viruses and predicted non-mammalian hosts for all PPLV lineages. The study adds seventy-six genomes to the twenty-nine PPLV genomes currently available and greatly extends our sequence knowledge of this group of viruses within the Picornavirales order.