Anuri was named by Fischer von Waldheim (1813) [also attributed to Rafinesque 1815 originally a Section also attributed to Rafinesque 1815 originally a Section also attributed to Rafinesque 1815 originally a Section]. It is extant.

It was reranked as the suborder Anura by McGrew et al. (1959), Gauthier et al. (1989), Holman et al. (1990) and Meyer and Zardoya (2003); it was corrected as Anura by Carroll (1988), Shoshani et al. (1989), Gao and Wang (2001), Zardoya and Meyer (2001), Peng et al. (2001), Gao and Chen (2004), Venczel and Stiuca (2008) and Böhme (2010); it was reranked as the unranked clade Anura by Säve-Söderbergh (1934), Evans and Borsuk-Bialynicka (1998), Gardner (2001), Augé and Rage (2006), Anderson et al. (2008) and Maddin et al. (2012).

It was assigned to Batrachomorpha by Säve-Söderbergh (1934); to Lepospondyli by Carroll (1988); to Lissamphibia by Gauthier et al. (1989); to Batrachia by Meyer and Zardoya (2003); to Salientia by Gao and Wang (2001) and Gao and Chen (2004); to Amphibia by Augé and Rage (2006); to Salientia by Evans and Borsuk-Bialynicka (1998), Gardner (2001) and Anderson et al. (2008); to Amphibia by McGrew et al. (1959), Shoshani et al. (1989), Holman et al. (1990), Peng et al. (2001), Venczel and Stiuca (2008) and Böhme (2010); and to Batrachia by Zardoya and Meyer (2001) and Maddin et al. (2012).