The species of the Deltochilum subgenus Aganhyboma, endemic to Central and South America, are reviewed. The species have been divided into complexes, with a brief diagnosis presented for each. A key for identification of 26 currently recognized species is provided in English and Portuguese. Two major groups within the subgenus are recognized (trisignatum and valgum). The first is represented by species typically belonging to the subgenus Aganhyboma (Deltochilum (A.) trisignatum, D. (A.) kolbei, D. (A.) violaceum, D. (A.) cupreicolle and D. (A.) viridescens new status) and three new species described here (D. (A.) amandaarcanjoae, D. (A.) viridicatum and D. (A.) titovidaurrei). The second group (valgum) is represented by: D. (A.) valgum, D. (A.) longiceps new status, D. (A.) acropyge new status, D. (A.) acanthus, D. (A.) icaroides and D. (A.) icariforme), previously assigned to the subgenus Deltohyboma. Twelve new species are described for the valgum group (D. (A.) schefflerorum; D. (A.) streblopodum; D. (A.) feeri; D. (A.) larseni; D. (A.) arturoi; D. (A.) finestriatum; D. (A.) cangalha; D. (A.) alpercata; D. (A.) ritamourae; D. (A.) kolleri; D. (A.) paresi; D. (A.) subrubrum). A lectotype is designated for D. (A.) trisignatum and D. (A.) icariforme. A detailed literature review, synonymies, description, illustration of key morphological characters, data of the studied material and geographic distribution is provided for each species.