Class Quests appeared in Phase 3, that started on February 13th.
Here’s the list of possible items you can get as a reward :
Druid: 
Grizzled Pelt, Forest’s Embrace, 
Moonshadow Stave
Hunter: 
Hunting Spear, 
Devilsaur Eye, 
Devilsaur Tooth
Mage: 
Glacial Spike, 
Arcane Crystal Pendant, 
Fire Ruby
Paladin: 
Lightforged Blade, 
Sanctified Orb, 
Chivalrous Signet
Priest: 
Blessed Prayer Beads, 
Woestave, 
Circle of Hope
Rogue: 
Ebon Mask, 
Whisperwalk Boots, 
Duskbat Drape
Shaman: 
Azurite Fists, 
Wildstaff, 
Enamored Water Spirit
Warlock: 
Soul Harvester, 
Abyss Shard, 
Robes of Servitude
Warrior: 
Fury Visor, 
Diamond Flask, 
Razorsteel Shoulders
All Quests begin at any of your class trainer in any major city
Druid
Pick up Torwa Pathfinder from your trainer and head to Un’Goro Crater, to turn it in and take Bloodpetal Poison. You have to collect 8x
Gorishi Sting and 8x
Bloodcap.
The Gorishi Sting can be looted from Gorishi mobs in the south of Un’Goro Crater at their hive, these have around a 10% drop rate.
The Bloodcaps can be looted from Bloodpetal Sprouts all around Un’Goro Crater.
Return to Torwa Pathfinder and take his next quest Toxic Test which gives you the item Devilsaur Barb and requires you to use it on a Devilsaur. Any of the 3 Devilsaur variety will work for this. They are generally to the west in Un’Goro Crater, a good strategy to do this safely is to 
Soothe Animal then 
Hibernate the Devilsaur and then stab it with Devilsaur Barb.
Go back to Torwa Pathfinder and take A Better Ingredient. This sends you into ST to kill Atal’alarion and loot 
Putrid Vine from him.
As you completed this part return to Torwa Pathfinder and receive one of the following items: Grizzled Pelt, Forest’s Embrace and Moonshadow Stave.
Hunter
Take The Hunter’s Charm from your trainer and head to Azshara to speak with Ogtinc. He is located at the edge of the cliff that drops off onto the beach Azshara.
Pick up Courser Antlers. This requires you to get 
Perfect Courser Antler from Mosshoof Courser. There is 10% drop rate so it may take some time just to gather 2.
Mosshoof Courser can be found all around Azshara except for the ruins and beaches.
When you have gathered 2x Perfect Courser Antler head back to Ogtinc and take Wavethrashing which requires you to bring him 6x 
Wavethrasher Scales.
These can be looted from Young Wavethrasher, Wavethrasher and Great Wavethrasher. You will find these mobs around the coast to the far north and south east. The drop rates on these items are around 30% so with any luck it shouldn’t take too long.
As you collect 6x Wavethrasher Scales head back to Ogtinc. Turn it in and take The Green Drake. This sends you into ST to kill Morphaz and loot 
Tooth of Morphaz from him.
When you have retrieved this item you can head back to Ogtinc to hand in your quest and be rewarded with a choice of Hunting Spear, Devilsaur Eye and Devilsaur Tooth.
Mage
Take Magecraft which sends you to Sanath Lim-yo in Azshara.
To get the next part take teleport and head up to Archmage Xylem who will give you Magic Dust.
This quest requires you to loot 10x
Glittering Dust which can be looted from Blood Elf Surveyor and Blood Elf Reclaimer. They can be found to the east of Xylem.
When you have 10x Glittering Dust go back to Archmage Xylem and take the next quest The Siren’s Coral which requires you to loot 6x
Enchanted Coral from Spitelash Siren. They are all around the Ruins of Eldarath and The Bay of Storms. South-east of Archmage Xylem and south of the Blood Elf mobs.
When you have them, return to Archmage Xylem to take the last quest of this series Destroy Morphaz and loot 
Arcane Shard from him.
Return for one of this rewards: Glacial Spike, Arcane Crystal Pendant and Fire Ruby.
Paladin
Quest starts at Lord Grayson Shadowbreaker, Chillwind Point. This sends you to Commander Ashlam Valorfist in Western Plaguelands, he is located in the south at Chillwind Camp.
Speak with him and take Dispelling Evil, the quest requires you to bring him 20x
Minion’s Scourgestone which drop from any scourge mobs in Western Plaguelands. You may even already have these if you have been leveling here already. Turn it in to High Priest Thel’danis at Uther’s Burial which is a little to the east of Chillwind Camp and pick up the next part Inert Scourgestones. This gives you the item 
Inert Scourgestone to return to Commander Ashlam Valorfist. Turn it in and pick up the next one Forging the Mightstone.
This requires you to go into the dungeon The Temple of Atal’Hakkar and loot 2 of each 
Blue Voodoo Feather, 
Green Voodoo Feather and 
Amber Voodoo Feather. These are looted from 6 different bosses so don’t forget to pick them up as you go! The bosses that drop these are:
Amber Voodoo Feather : Gasher/Zul’Lor
Blue Voodoo Feather : Hukku/Mijan
Green Voodoo Feather : Zolo/Loro
Once you are finished head back to Commander Ashlam Valorfist and hand in your quest to be rewarded with the choice of several items: Lightforged Blade, Sanctified Orb and Chivalrous Signet.
Priest
Pick up Cenarion Aid from your trainer and head to Azshara to speak with Ogtinc. He is located at the edge of the cliff that drops off onto the beach Azshara.
Take Of Coursers We Know, this requires you to get 4x 
Healthy Courser Gland which can be looted from Mosshoof Courser. They are all around Azshara.
When you have gathered 4x Healthy Courser Gland go back to Ogtinc and pick up the next quest The Ichor of Undeath. 
Ichor of Undeath can be looted from most of the undead mobs all over Western Plaguelands.
When you have an Ichor of Undeath head back to Ogtinc and pick up the final quest of this chain Blood of Morphaz. This sends you into ST to kill Morphaz and loot 
Blood of Morphaz from him.
As you have completed quest, return to Greta Mosshoof located at the Emerald Sanctuary in Felwood to turn in quest and take reward: Blessed Prayer Beads, Woestave and Circle of Hope.
Rogue
Go to Hillsbrad Foothills to Lord Jorach Ravenholdt (on the map).
When you have found Lord Jorach Ravenholdt turn in quest and take up Sealed Azure Bag which requires you to loot a 
Sealed Azure Bag from Timbermaw Shaman in Azshara. This has a fairly low drop rate and you may be here for a while farming away, but don’t let that discourage you.
When you find Sealed Azure Bag go to Archmage Xylem. Xylem will give you the quest Encoded Fragments which requires you to retrieve 10x
Encoded Fragment from various NPCs which can be killed/pickpocket to receive the item. These NPCs are: Thunderhead Stagwing, Thunderhead Skystormer, Thunderhead Patriarch, Thunderhead Consort, Timberweb Recluse and Forest Ooze.
Return to Archmage Xylem to get the quest The Azure Key. This sends you into ST to kill Morphaz and loot 
Azure Key from him.
Return to Archmage Xylem and choose one of these rewards: Ebon Mask, Whisperwalk Boots or Duskbat Drape.
Shaman
Take Elemental Mastery which requires you to get 1 of each: 
Elemental Air, 
Elemental Fire, 
Elemental Earth and 
Elemental Water.
You can buy these off the auction house as option.
Take the follow up quest Spirit Totem which requires you to bring him 8x Bloodshot Spider Eye and 8x
Thick Black Claw.
Bloodshot Spider Eye can be looted from Carrion Vulture and Venom Mist Lurker. Thick Black Claw can be looted from Carrion Vulture and Diseased Black Bear. All of these mobs can be found at the entrance to Western Plaguelands from Tirisfal Glades.
Go back to Bath’rah the Windwatcher , he will give you Da Voodoo. Go into the dungeon The Temple of Atal’Hakkar and loot 2 of each Blue Voodoo Feather, Green Voodoo Feather and Amber Voodoo Feather. These are looted from 6 different bosses so don’t forget to pick them up as you go! The bosses that drop these are:
Amber Voodoo Feather : Gasher/Zul’Lor
Blue Voodoo Feather : Hukku/Mijan
Green Voodoo Feather : Zolo/Loro
Return to Bath’rah the Windwatcher and complete the final quest of this chain. You will be able to choose Azurite Fists, Wildstaff or Enamored Water Spirit.
Warlock
Take An Imp’s Request. You have to take 
Felcloth to Impsy in Felwood. Buy one of these off the auction house and head to Felwood.
The next quest is The Wrong Stuff which requires you to bring him 10x
Rotting Wood and 4x Bloodvenom Essence. Rotting Wood can be looted from Irontree Wanderer, Irontree Stomper and Withered Protector all of them are located at the Irontree Wood in Felwood. These are about 25% drop chance.
Bloodvenom Essence can be looted from Tainted Ooze which are located right near Impsy. These are around 20% drop chance.
When you have all the required items return to Impsy and take the final quest of this series Trolls of a Feather. This requires you to go into the dungeon The Temple of Atal’Hakkar and loot 2 of each Blue Voodoo Feather, Green Voodoo Feather and Amber Voodoo Feather. These are looted from 6 different bosses so don’t forget to pick them up as you go! The bosses that drop these are:
Amber Voodoo Feather : Gasher/Zul’Lor
Blue Voodoo Feather : Hukku/Mijan
Green Voodoo Feather : Zolo/Loro
Once you have finished head back to Impsy and hand in your quest to be rewarded with the choice of several items: Soul Harvester, Abyss Shard or Robes of Servitude.
Warrior
Take A Troubled Spirit and go Swamp of Sorrows to speak with Fallen Hero of the Horde. He is located at the path headed into Blasted Lands.
Talk to Fallen Hero of the Horde and listen to his story, accept his next quest Warrior Kinship. This requires you to go into Blasted Lands and slay 7 Helboar, these can be found around the crater of The Dark Portal.
When you have slain 7x Helboar return to Fallen Hero of the Horde and take War on the Shadowsworn which sends you back into Blasted Lands to slay 20x Shadowsworn Adept, 10 x Shadowsworn Cultist and Shadowsworn Thug. They are located in and around a cave.
As you finished War on the Shadowsworn go back to Fallen Hero of the Horde and take Voodoo Feathers.
This requires you to go into the dungeon The Temple of Atal’Hakkar and loot 2 of each Blue Voodoo Feather, Green Voodoo Feather and Amber Voodoo Feather. These are looted from 6 different bosses so don’t forget to pick them up as you go! The bosses that drop these are:
Amber Voodoo Feather : Gasher/Zul’Lor
Blue Voodoo Feather : Hukku/Mijan
Green Voodoo Feather : Zolo/Loro
Once you are finished return to Fallen Hero of the Horde and complete the final quest of this chain. You will be able to choose 3 items, for 
Warrior it is very important to choose Diamond Flask.
