Taken from the Preliminary Patch Notes via Reddit.


As It Once Was The Pillars (X:11.5 Y:11.1)
Prerequisite Quest
Tataru
As Goes Light, So Goes Darkness.


A Gentleman Falls, Rather than Flies The Pillars (X:5.9 Y:9.9)
Prerequisite Quest
Nashu
Heavensward; Her Last Vow


Kettle to the Mettle North Shroud (X:29.5 Y:19.6)
Prerequisite Quest
Jalzahn
The Vital Title


The Antitower
The Word of the Mother (3.2 Main Story Quest)The Rising Stones (X:6.0 Y:6.0)
Prerequisite Quest
Alphinaud
As It Once Was (3.2 Main Story)

The Lost City of Amdapor (Hard)
One More Night in Amdapor Old Gridania (X:6.0 Y:10.6)
Prerequisite Quest
E-Sumi-Yan
One Night in Amdapor



Sephirot - Containment Bay S1T
When the Bough Wakes The Rising Stones (X:6.1 Y:5.2)
Prerequisite Quest
Unukalhai
As Goes Light, So Goes Darkness & Gods of Eld

Sephirot - Containment Bay S1T7 (Extreme)
A Fiendish Likeness The Rising Stones (X:6.1 Y:5.2)
Prerequisite Quest
Unukalhai
When the Bough Wakes (3.2 Sephirot Normal Mode Quest)


Alexander Midas
Rearmed Dravanian Hinterlands (X:21.7 Y:18.8)
Prerequisite Quest
Roundrox
Engma

Alexander: Midas (Savage)
A Refrain for the Undaunted Mor Dhona (X:21.7 Y:8.7)
Prerequisite Quest
Wandering Minstrel
A Gob in the Machine (3.2 Alexander Midas Quest)


Stone, Sky, Sea
A Striking Opportunity Idyllshire (X:7.3 Y:6.0)
Prerequisite Quest
Austere Adventurer
Heavensward

Hall of the Novice
Multiple Locations - see patch notes
Smith NPC - see patch notes



Hall of Novice/ Mentoring - "Smith NPC" Locations:

1. New Gridania (X:11.7 Y:13.1)
2. Limsa Lominsa - Upper Decks (X:11.5 Y:11.3)
3. Ul'dah - Steps of Nald (X:11.8 Y:9.6)
4. South Shroud (X:19.7 Y:18.1)
5. Central Shroud (X:10.0 Y:22.8)
6. Central Shroud (X:19.2 Y:28.2)
7. Western La Noscea (X:28.6 Y:24.2)
8. Western Thanalan (X:27.9 Y:16.9)
9. Eastern Thanalan (X:14.8 Y:30.2)

Mentoring Requirements
Battle Classes - Complete all 5

• Complete one of the tank level 60 quests
• Complete one of the healer level 60 quests
• Complete one of the DPS level 60 quests
• Complete 1000 instanced dungeons, raids or trials
• Receive 300 commendations

Crafting/Gathering - Complete all 4

• One Crafting Class at level 60
• One gathering Class at level 60
• Synthesize 100 collectables
• Gather or catch 300 collectables

For both of the above, you can find your progress in the Achievements screen.