Note that the common AEAD modes, AES-GCM and ChaCha20-Poly1305, are CTR + MAC. The most common style of MAC is Carter Wegman MAC, the second most common is CCM

Note that the common AEAD modes, AES-GCM and ChaCha20-Poly1305, are CTR + MAC. The most common style of MAC is Carter Wegman MAC, the second most common is CCM and EAX and the like, after that HMAC. Nothing new uses CBC or CFB or OFB or any of those.