The systematics and taxonomy of the tropical Asian jumping spiders of the tribe Baviini is reviewed, with a molecular phylogenetic study (UCE sequence capture, traditional Sanger sequencing) guiding a reclassification of the group’s genera. The well-studied members of the group are placed into six genera: Bavia Simon, 1877, Indopadilla Caleb & Sankaran, 2019, Padillothorax Simon, 1901, Piranthus Thorell, 1895, Stagetillus Simon, 1885, and one new genus, Maripanthus Maddison, gen. nov. The identity of Padillothorax is clarified, and Bavirecta Kanesharatnam & Benjamin, 2018 synonymized with it. Hyctiota Strand, 1911 is synonymized with Stagetillus. The molecular phylogeny divides the baviines into three clades, the Piranthus clade with a long embolus (Piranthus, Maripanthus), the genus Padillothorax with a flat body and short embolus, and the Bavia clade with a higher body and (usually) short embolus (remaining genera). In general, morphological synapomorphies support or extend the molecularly delimited groups. Eighteen new species are described: Bavia nessagyna, Indopadilla bamilin, I. kodagura, I. nesinor, I. redunca, I. redynis, I. sabivia, I. vimedaba, Maripanthus draconis (type species of Maripanthus), M. jubatus, M. reinholdae, Padillothorax badut, P. mulu, Piranthus api, P. bakau, P. kohi, P. mandai, and Stagetillus irri, all sp. nov., with taxonomic authority W. Maddison. The distinctions between baviines and the astioid Nungia Żabka, 1985 are reviewed, leading to four species being moved into Nungia from Bavia and other genera. Fifteen new combinations are established: Bavia maurerae (Freudenschuss & Seiter, 2016), Indopadilla annamita (Simon, 1903), I. kahariana (Prószyński & Deeleman-Reinhold, 2013), I. sonsorol (Berry, Beatty & Prószyński, 1997), I. suhartoi (Prószyński & Deeleman-Reinhold, 2013), Maripanthus menghaiensis (Cao & Li, 2016), M. smedleyi (Reimoser, 1929), Nungia hatamensis (Thorell, 1881), N. modesta (Keyserling, 1883), N. papakula (Strand, 1911), N. xiaolonghaensis (Cao & Li, 2016), Padillothorax casteti (Simon, 1900), P. exilis (Cao & Li, 2016), P. flavopunctus (Kanesharatnam & Benjamin, 2018), Stagetillus banda (Strand, 1911), all comb. nov. One combination is restored, Bavia capistrata (C. L. Koch, 1846). Five of these new or restored combinations correct previous errors of placing species in genera that have superficially similar palps but extremely different body forms, in fact belonging in distantly related tribes, emphasizing that the general shape of male palps should be used with caution in determining relationships. A little-studied genus, Padillothorus Prószyński, 2018, is tentatively assigned to the Baviini. Ligdus Thorell, 1895 is assigned to the Ballini.