Swine are an important food source worldwide and producers may not always be aware of the variety of the pathogens infecting their herds, particularly viruses. In this study, 12 enteric viruses were monitored in a total of 181 diarrheic and healthy piglets; namely porcine astrovirus groups 1–5 (poAstV1−5), rotavirus A and C (RVA-RVC), caliciviruses (CaVs), porcine kobuvirus (PoK), hepatitis E virus (HEV), and torque teno sus virus 1 and k2 (TTsuV1-k2). All animals were sampled before 3 weeks of age, and then at 5, 12 and 20 weeks of age. In addition to the 12 targeted viruses, the virome of 12 piglets at 4 different life stages was characterized using a high-throughput sequencing approach. The presence of CaV (sapovirus), poAstV-3 or poAstV-5 was found to be a risk factor for neonatal diarrhea. Co-infections with RVC and poAstV-2, poAstV-3, and poAstV-4 and CaV co-infected with PoK or poAstV-4 were also found to be risk factors for diarrhea in piglets. RVC, PoK, poAstV-3 and poAstV-4 were the most prevalent viruses in piglets below 3 weeks of age. PoAstV-2, poAstV-4, TTsuV1 and TTsuVk2 were found to be the most prevalent viruses infecting piglets of 20 weeks of age. The enteric virome composition varied between healthy and diarrheic piglets. The alpha and beta diversity of the enteric viromes varied from under 3 weeks of age to 20 weeks and was mainly supported by phages. Overall, this study sheds new light on enteric virome dynamics and the virome’s relationship with neonatal diarrhea.