These were mountain nymphs, wood nymphs, stream nymphs, and sea nymphs, all in beauteous female form. They were not immortal but their life span was several thousand years.

The Hespirides
The Hespirides were the nymphs who guarded the Tree of the Golden Apples. Their father was Hesperos, or the God of the Evening Star. Their names were:

 Aegle
 Eritheia
 Hesperia
 
 

The Pleiades
There were seven Pleiades, and you can find them when you loook in the sky (they are stars).

They were the daughters of Pleione and Atlas (son of Iapetus, the Titan, and Clymene, the Sea Nymph).

.Their names sometimes vary among mythographers, but are usually limited to seven in number [the number of visible (to the naked eye) stars in the constellation Pleiades (in Taurus)], but all of the following are among those named at one time or another. Their name means "flock of doves".

The seven most named as Pleiades are the following:
Alcyone
Also called Halcyone or Halcyon. Alcyone had a daughter, Aethusa, and two sons, Hyperenor and Hyrieus, by Poseidon.
Celaeno
By Zeus, she bore Lycus and Eurypylus.
Electra
Gave birth to Dardanus, by Zeus.
Maia
She is the mother of Hermes. She was the oldest and most beautiful of the sisters
Merope
She is the seventh and least visible of the stars in the constellation Pleiades; the "shy sister" or "Lost Pleiad". Supposedly she is
hiding in shame for being the only sister to have a mortal lover (Sisyphus). She bore Sisyphus sons Glaucus, Ornytion, and
Sinon.
Sterope
In some stories she bore Oenomaus, by Ares.
Taygeta (Taygete)
Begot, by Zeus, Lacedæmon, founder of Sparta. In some versions of the story, she was unwilling to yield to Zeus, and was
disguised by Artemis as a hind to elude him; but he eventually caught her and coupled with her, whereupon she gave birth to
Lacedæmon. She hanged herself in shame.

Others sometimes mentioned as being one of the Pleiades (replacing one from above) are:
                        Antinoe
                        Asteria
                        Asterope
                        Coccymo
                        Euadne
                        Hippothoe
                        Lampado
                        Lampatho
                        Parthenia
                        Protis
                        Stonychia
    

The myth:
The sisters were being pursued by Orion, the hunter, who lusted after them. They fled into the mountains, but could not escape
his pursuit. Just as he was about to capture them, they prayed to Zeus for his intervention. He turned them into doves and
placed them in the heavens as a constellation. But Zeus being Zeus, turned Orion (at his death) into a constellation also, and
placed him in the sky in a position where it seems he still pursues the Pleiades!

Note: Not only Orion lusted after these beauties, but Zeus made out with Maia, Taygete, and Electra; Poseidon got to Alcyone
and Celoeno; Ares was Sterope's lover. Only Merope did not succumb to a god, she had the mortal Sisyphus as a lover (that's
why her star is much dimmer in the sky than the others).
 

The Hamadryades

These nymphs fall under the sub-classification of "Tree Nymphs". They are the daughters of Hamadryas. They are depicted as
being beautiful naked women from the waist up, and as trees from the waist down. The few names I could find are:

                           Atlantia
                           Byblis
                           Chrysopeleia
                           Dryope
                           Eurydice
                           Sagaritis
 
 
 

Hyades
These daughters of Atlas and Pleione were also the sisters of Hyas, who died. they mourned for him so much that the Gods hung them as stars in the Sky.
 

Oceanidsclick on the flower to see a list of some known Oceanides
There were 3000 Oceanids, and they were all the Nymphs of the Ocean. Their mother was the Titaness Tethys and their father the Titan Oceanus.
 

Nereids
The Nereids were the 50 daughters of Nereus (the Sea) and Doris. The were the Nymphs of the Sea, and on the right is how one artist supposed them.One of them was Amphitrite. The stories say that it was when they went and performed a dance on the island of Naxos that Poseidon decided to claim Amphitrite as his bride.

Naiads
The Naiads were the nymphs of freshwater streams rivers and lakes. They had extremely long lifetimes, but they were not considered immortal.

The Naiades are nymphs of bodies of fresh water (lakes, streams, brooks, marshes, fountains, springs, ponds, and wells) and
are one of the three main classes of water nymphs; the others are the Nereides (salt water nymphs) and the Oceanides (ocean
nymphs). The Naiades are further divided into sub-groups; the Crinaea (fountains), the Pegaeae (springs), the Limnatides
(lakes), the Eleionomae (marshes), and the Potameides (rivers). Some are able to heal the sick, some have the gift of
prophecy and can deliver oracles, some watched over fields, flocks, and flowers. They are not immortal, but can live for
thousands of years (Plutarch said their average life span was 9620 years), always remaining young and beautiful. Their lives are
bound inextricably to the body of water they inhabited (or that was nearby the cave or grotto where they lived); if it dries up,
they die. There are various accounts of their parentage, but consensus is they are part of the family of Oceanus and Tethys. The
Naiades were included in many myths as lovers of gods and mortals and, sometimes, as instruments of death to those who
loved them.
 

Draiads
The Draiads were the Nymphs of the Forest. Draiads were immortal, unlike other types, like the Hamadreiads, who lived in oak trees and would die when the tree they lived in died. They were the hunting companions of Artemis.

Meliads
These Draids were the Nymphs of Ash Trees. They were the daughters of Gaia and of Uranus' blood.

Napaea
The Napaea were the Nymphs of the Valley. In Greek nape means dell.

Oreads
Oreads were the Nymphs of the Mountains.

Epimeliads
Epimeliads were the Protectors of Sheep. So I suppose you could call them Sheep Nymphs.

Lamusidean Nymphs
Lamusidean Nymphs were the daughters of Lamus. They were the nurses of Dionysus, but because of Hera's deep jealousy they were driven mad. They would have chopped the baby Dionysus up, and not Hermes appeared on the scene just in time to save the baby God.

Aegina
This was the daughter of Asopus, a river god. She was abducted by Zeus, as it every nymph eventually is, it seems, and carried off to the island of Attica (which was renamed after her for a period). There she had a son, Aeacus, and he became the monarch of the island.

Calypso
She was the daughter of Atlas. She is in the story of Odysseus. She takes a fancy to him, and keeps him prisoner for seven years, during which time they sleep together, although Odysseus remains loyal to Penelope (which I don't understand), and eventually Zeus orders her to set him free.

Chelone
This poor nymph got turned into a turtle because she refused to attend the wedding of Hera and Zeus. The gods
condemned her to eternal silence because of her insulting words.

Clytia
Also known as Clytie, this Oceanid was the beloved of Apollo. Well, she was until he got tired of her. Then he dropped her and broke her heart. She was changed into a sunflower with her face to the sun.

Lethe
Lethe was another Naiad, but her river was in the Underworld. The Lethe was the river of Forgetfulness and Oblivion. Lethe was a daughter of Eris.

Rhodus
Rhodus was a nymph who was a daughter of Poseidon. She was the mother of the Heliadae with Helios. The island she lived on was named after her: Rhodes.

Styx
Styx was a Naiad. Her name meant literally Hateful. This may have been because her river was the one that all of the dead must pass. Her river was the most holy and sacred, and to swear on it was the most holy oath a God could make.
Satyr with Nymphs
A forest and mountain creature. Part human, with a horse's tail and ears, and a goat's horns
and legs, satyrs were merry, drunken, lustful devotees of Dionysus.