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Aegypius is a genus of Old World vultures found in the subfamily Gypinae. Of the three species in the genus, only the cinereous vulture (Aegypius monachus) is extant.

1/ Cinereous vulture (Đại bàng đầu trọc, Aegypius monachus)

Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).
The genus name Aegypius is a Greek word (αἰγυπιός) for 'vulture', or a bird not unlike one; Aelian describes the aegypius as "halfway between a vulture (gyps) and an eagle".

Aquila is the genus of true eagles. 

1/ Eastern imperial eagle (Đại bàng đầu nâu, Aquila heliaca)
2/ Steppe eagle (Đại bàng hung, Aquila nipalensis) 
3/ Tawny eagle (Đại bàng nâu, Aquila rapax) 
4/ Bonelli's eagle (Đại bàng má trắng, Aquila fasciata)

Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).
The genus name Aquila is Latin for "eagle", possibly derived from aquilus, "dark in colour".

Butastur is a genus of birds of prey in the family Accipitridae.

1/ Grey-faced buzzard (Diều Ấn độ, Butastur indicus)
2/ Rufous-winged buzzard (Diều xám, Butastur liventer)

Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).
The genus name Butastur is a combination of the Latin words buteo (meaning "buzzard") and astur (meaning "a hawk"), referring to a genus of birds that share characteristics of both. The name was created by combining the existing genera Buteo and Astur to describe a type of hawk or buzzard.

Circaetus, the snake eagles, is a genus of medium-sized eagles in the bird of prey family Accipitridae.

1/ Short-toed snake eagle (Diều ngón ngắn, Circaetus gallicus), also known as the short-toed eagle

Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).
The genus name Circaetus is is from the Ancient Greek kirkos, a type of hawk, and aetos, "eagle". 

Clanga is a genus which contains the spotted eagles. 

1/ Greater spotted eagle (Đại bàng đen, Clanga clanga), also called the spotted eagle
Once thought to be a member of the genus Aquila, but was reclassified to a distinct genus, Clanga, along with the two other species of spotted eagle.

Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).
The genus name is from Ancient Greek klangos, "eagle".

Haliaeetus is a genus of four species of eagles, closely related to the sea eagles in the genus Ichthyophaga.

1/ Pallas's fish eagle (Đại bàng biển đuôi trắng, Haliaeetus leucoryphus), also known as Pallas's sea eagle or band-tailed fish eagle

Accipitriformes, Accipitridae:
Accipitridae from Latin accipiter/accipitri- "hawk".
accipitrinus Latin accipitrinus hawk-like (accipiter: hawk).
The genus name is from Latin haliaetus or haliaetos meaning "sea-eagle" or "osprey".

Icthyophaga or Ichthyophaga is a genus of six species of eagles, closely related to the sea eagles in the genus Haliaeetus. Some taxonomic authorities place this genus within Haliaeetus.

Accipitridae from Latin accipiter/accipitri- "hawk".
ichthyaetus: Greek: ikhthus fish; aetos eagle.
Ichthyophaga Greek ikhthuophagos fish-eating (ikhthus: fish; -phagos -eating;  phagein to eat or "devour").

1/ White-bellied sea eagle (Đại bàng biển bụng trắng, Icthyophaga leucogaster), also known as the white-breasted sea eagle
Also Haliaeetus leucogaster.
2/ Grey-headed fish eagle (Diều cá đầu xám, Icthyophaga ichthyaetus)
3/ Lesser fish eagle (Diều cá bé, Icthyophaga humilis)

Ictinaetus is a genus in the family Accipitridae. The genus has only one member the black eagle.

accipiter: From Latin accipiter (“hawk”).
Ictinaetus: From Ancient Greek ἰκτῖνος (iktînos, “kite”) + ἀετός (aetós, “eagle”).

1/ Black eagle (Đại bàng Ma Lai, Ictinaetus malaiensis)

Lophotriorchis is a genus of four species of eagles in the family Accipitridae.

Accipitridae from Latin accipiter/accipitri- "hawk".
Lophotriorchis (synonym Hieraaetus) Greek lophos crest; triorkhes: hawk.

1/ Rufous-bellied eagle or rufous-bellied hawk-eagle (Đại bàng bụng hung, Lophotriorchis kienerii)

Pernis is a genus of birds in the family Accipitridae, subfamily Perninae whose members are commonly known as honey buzzards. 

Accipitridae from Latin accipiter/accipitri- "hawk".
The genus name is derived from Ancient Greek pernes, a term used by Aristotle for a bird of prey.

1/ Crested honey buzzard (Diều ăn ong, Pernis ptilorhynchus), also known as the Oriental, Asiatic, or Eastern honey buzzard. 

Spilornis is a genus of bird of prey in the family Accipitridae. 

Spilornis: from Greek spilos "spot"; ornis, ornithos "bird".
cheela: Hindi name Cheel for a hawk or kite.

1/ Crested serpent eagle (Diều hoa miến điện, Spilornis cheela)