A number of unassigned rodent picornavirus genomes have been deposited on GenBank (Wu et al., 2018), They await further analysis, but my preliminary findings (using polymerase sequences in BLAST) are as follows:

References

Wu Z, Lu L, Du J, Yang L, Ren X, Liu B, Jiang J, Yang J, Dong J, Sun L, Zhu Y, Li Y, Zheng D, Zhang C, Su H, Zheng Y, Zhou H, Zhu G, Li H, Chmura A, Yang F, Daszak P, Wang J, Liu Q, Jin Q. Comparative analysis of rodent and small mammal viromes to better understand the wildlife origin of emerging infectious diseases. Microbiome. 2018 Oct 3;6(1):178. doi: 10.1186/s40168-018-0554-9. PubMed PMID: 30285857; PubMed Central PMCID: PMC6171170.