Here is a list of Dolphin species:

Suborder Odontoceti, toothed whales
Family Delphinidae, oceanic Dolphins
Genus Delphinus
• Long-Beaked Common Dolphin, Delphinus capensis
• Short-Beaked Common Dolphin, Delphinus delphis
Genus Tursiops
• Bottlenose Dolphin, Tursiops truncatus
Genus Lissodelphis
• Northern Rightwhale Dolphin, Lissodelphis borealis
• Southern Rightwhale Dolphin, Lissiodelphis peronii
Genus Sotalia
• Tucuxi, Sotalia fluviatilis
Genus Sousa
• Indo-Pacific Hump-backed Dolphin, Sousa chinensis
• Chinese White Dolphin (the Chinese variant), Sousa chinensis chinensis
• Atlantic Humpbacked Dolphin, Sousa teuszii
Genus Stenella
• Atlantic Spotted Dolphin, Stenella frontalis
• Clymene Dolphin, Stenella clymene
• Pantropical Spotted Dolphin, Stenella attenuata
• Spinner Dolphin, Stenella longirostris
• Striped Dolphin, Stenella coeruleoalba
Genus Steno
• Rough-Toothed Dolphin, Steno bredanensis
Genus Cephalorynchus
• Chilean Dolphin, Cephalorhynchus eutropia
• Commerson's Dolphin, Cephalorhynchus commersonii
• Heaviside's Dolphin, Cephalorhynchus heavisidii
• Hector's Dolphin, Cephalorhynchus hectori
Genus Grampus
• Risso's Dolphin, Grampus griseus
Genus Lagenodelphis
• Fraser's Dolphin, Lagenodelphis hosei
Genus Lagenorhyncus
• Atlantic White-Sided Dolphin, Lagenorhynchus acutus
• Dusky Dolphin, Lagenorhynchus obscurus
• Hourglass Dolphin, Lagenorhynchus cruciger
• Pacific White-Sided Dolphin, Lagenorhynchus obliquidens
• Peale's Dolphin, Lagenorhynchus australis
• White-Beaked Dolphin, Lagenorhynchus albirostris
Genus Orcaella
• Australian Snubfin Dolphin, Orcaella heinsohni
• Irrawaddy Dolphin, Orcaella brevirostris
Genus Peponocephalia
• Melon-headed Whale, Peponocephalia electra
Genus Orcinus
• Killer Whale, Orcinus orca
Genus Feresa
• Pygmy Killer Whale, Feresa attenuata
Genus Pseudorca
• False Killer Whale, Pseudorca crassidens
Genus Globicephala
• Long-finned Pilot Whale, Globicephala melas
• Short-finned Pilot Whale, Globicephala macrorhynchus
Family Platanistoidea, River Dolphins
Genus Inia
• Boto (Amazon River Dolphin), Inia geoffrensis
Genus Lipotes
• Chinese River Dolphin (Baiji), Lipotes vexillife
Genus Platanista
• Ganges River Dolphin, Platanista gangetica
• Indus River Dolphin, Platanista minor
Genus Pontoporia
• La Plata Dolphin (Franciscana), Pontoporia blainvillei

Six animals in the family Delphinidae are commonly called "whales" but are strictly speaking dolphins. They are sometimes called "blackfish":

• Melon-headed Whale, Peponocephalia electra
• Killer Whale, Orcinus orca
• Pygmy Killer Whale, Feresa attenuata
• False Killer Whale, Psudoorca crassidens
• Long-finned Pilot Whale, Globicephala melas
• Short-finned Pilot Whale, Globicephala macrorhynchus