Rays

Rays are close relatives of the sharks but they have significantly modified body shapes. Some are bat-like (the Batoids). Some are torpedo shaped (the Torpediniformes). This group includes the electric ray which can stun prey with an electric shock.  

Bony Fish

this is the largest grouping and includes most of the important types that are fished for food. Given the name, you will probably have guessed that the main characteristic is that they have a bony skeleton!  

Sturgeons and Paddlefishes

The Paddle fishes are an ancient group of fish. The American Paddlefish is sometimes called a ‘Spoonbill’ because of its distinctive mouth. It is a freshwater fish found mostly in the Mississippi and associated rivers and feeds by filtering zooplankton (tiny aquatic animals) from the water. This animal can be big at up to 65 kilograms.  

Reedfishes and Bichirs

Birhcirs are unusual fish that are popular pets for aquarium owners. In the wild, they are mostly found in rivers in Africa. They have simple lungs and can cope with water where there is not much dissolved oxygen (such as slow flowing, hot rivers or warm ponds).

Gars and Bowfins

Bowfins are found in the Great Lakes and are another ancient order of fish. They are more like modern fish than most other primitive species, though. They rear their young and they have scales rather than bony plates. More here:  

The Teleostei

Most fish living today (well over ninety percent) belong to this group. One of the chief characteristics of the Teleostei is that the fish can move their jaws forward (as well as up and down). If you ever watch a goldfish feeding you will understand what a big advantage this is. The jaws of a Teleost are capable of very precise movement and this helps locate and secure tricky foods.    

Jawless Fish

some very primitive kinds of fish- the Hagfish and Lampreys- still exist from the time before animals evolved jaws.        

Sharks

Sharks are a varied group of fish that evolved well before the Teleosti, described above. They are mostly predators, although, some, like the huge whale shark, are filter feeders. The popular image of sharks as dangerous killers is at least partly true. White Tip sharks are deep ocean dwellers that will attack anyone they find in the water. Great White Sharks will occassionally attack surfers and swimmers close to shore.
 

Here is a list of other fish! :

A

Anemonefishes Angelfishes Anglerfishes Anthias Aphyonids Archerfishes Australian freshwater fishes Australian Salmons

B

Bandfishes Bannerfishes Barracudas Barracudinas Barramundi and Glassfishes Basslets Batfishes Beaked Salmons, Beaked Sandfishes Beardfishes Bigeyes

Bigscales Billfishes (Marlins, Sailfish, Swordfishes etc) Blennies Blobfishes Bonnetmouths, Rubyfishes Boarfishes Bony Tongues Boxfishes Breams, Snapper, Tarwhine etc Bullseyes Butterflyfishes

C

Cales and Weed-whitings Cardinalfishes Carps, minnows, etc Catfishes Chimaeras and allies Clingfishes Cobia Cods Coelacanth Coffinfishes Conger Eels Coral Snappers Coral Trouts Cuskeels, Lings

D

Damselfishes Dartfishes Deepsea fishes Dogfishes Dolphinfishes Dories Dottybacks, Comets, Hulafishes etc

Dragonfishes Dragonets and Stinkfishes Driftfishes

E

Eels Emperors

F

Fangtooths Fatheads Flagtails Flatfishes (Soles, Flounders etc) Flatheads Flutemouths Flyingfishes

Freshwater Blackfishes Freshwater Cods, Basses Frogfishes Fusiliers

G

Galaxids Garfishes Ghost Pipefishes Goatfishes Gobies Goosefishes Gouramies Grenadiers Grinners

Grubfishes and Weavers Grunters and Trumpeters Gudgeons Gulper Eel Gurnards Gurnard Perches

H

Hagfishes Hakes Halosaurs Handfishes Hardyheads, Rainbowfishes, etc Hawkfishes Herrings Hulafishes

I

Infantfishes

J

Jawfishes Jellynoses Jobfishes

K

Kelpfishes Knifefishes Knifejaw

L

Lancetfishes Lanternfishes Leatherjackets Lightfishes Lizardfishes Loaches Longfin Escolars Long-finned Pike

Longtoms Loosejaws Luderick, Bluefish and Drummers Lungfishes Louvar

M

Mackerels, Tunas, Gemfish, Escolars etc Mados, Sweeps and Stripy Manefishes Marlins Medusafishes Monocle Breams Moorish Idol

Moray Eels Morid Cods, Moras, Beardies Morwongs Mullets Mulloway and Jewfish

N

Nannygais, Alfonsinos Needlefishes New Lanternfishes

O

Oarfishes, Bandfishes, Ribbonfishes, Opahs Old Wife Omosudid Orbicular Velvetfishes, Coral Crouchers Oreos

P

Parrotfishes Perches Pike eels Pineapplefishes Pipefishes and Pipehorses Pomfrets and Pomfreds Ponyfishes

Prowfishes Porcupinefishes Pufferfishes

R

Rabbitfishes Rattails Rainbowfishes Rays (eagle rays, stingarees, skates etc) Red Indianfish and Prowfishes Remoras and Suckerfishes Ribbonfishes Rockcods, Basslets, Coral Cods, Coral Trouts and Groupers Roughies Rubyfishes

S

Salamanderfishes Sanddivers Sauries Sawbellies Sawsharks Scats and Butterfishes Schindler’s fishes Scorpionfishes

Seadragons Seahorses Seamoths Sharks Silver Biddies Silversides Slickheads Smelts Snappers Snipefishes and Razorfishes Soapfishes Soldierfishes and Squirrelfishes Soles Spiny Eels Spiny Pufferfishes (Porcupinefishes, Burrfish etc) Splendid Perches Squaretails Squirrelfishes Stargazers Stingrays Stonefishes Sunfishes Surgeonfishes, Tangs and Unicornfishes Sweeps Sweetlips

T

Tailor Tapetails Thornfishes Torpedo Rays Threadfin Breams, Whiptails, Monocle Breams Trevallies, darts, scads, kingfishes

Triggerfishes Triplefins Triple-tail Tripodfishes Trout Trumpeters Trumpetfishes, Flutemouths and Long Toms Tunas

V/W

Velvetfishes

Weedfishes Whitings Whalefishes Wrasses