A review of the Oriental genus Cochinchinula Volk. (Coleoptera, Buprestidae, Polycestinae, Acmaeoderini) comprising three species is presented. The new species C. thailandica and C. bilyi spp. n. and the new genus Thaichinula gen. n. (type species T. ohmomoi sp. n.) from Thailand are described. A key to species of the genera Cochinchinula and Thaichinula is provided. The Nearctic genus Paracmaeoderoides Bellamy and Westcott is transferred from the subtribe Nothomorphina to the subtribe Acmaeoderoidina, and the South African genus Richtersveldia Bellamy is transferred from the subtribe Nothomorphina of Acmaeoderini to the tribe Ptosimini. The generic status is restored for another South African genus, Brachmaeodera Volkovitsh and Bellamy. The main evolutionary trends are discussed, and the taxonomic composition and classification of the tribe Acmaeoderini are clarified.