Rapid species radiations present difficulties for phylogenetic reconstruction due to lack of phylogenetic information and processes such as deep coalescence/incomplete lineage sorting and hybridization. Phylogenomic data can overcome some of these difficulties. In this study, we use Anchored Hybrid Enrichment (AHE) nuclear phylogenomic data and mitochondrial genomes recovered from AHE bycatch with several concatenated and coalescent approaches to reconstruct the poorly-resolved radiation of the New Zealand cicada species in the genera Kikihia Dugdale and Maoricicada Dugdale. Compared to previous studies using only three to five Sanger-sequenced genes, we find increased resolution across our phylogenies, but several branches remain unresolved due to topological conflict among genes. Some nodes that are strongly supported by traditional support measures like bootstraps and posterior probabilities still show significant gene and site concordance conflict. Additionally, we find strong mito-nuclear discordance; likely the result of interspecific hybridization events in the evolutionary history of Kikihia and Maoricicada.