Current Exotic Weapons guide

 WARNING: These could all be totally wrong. I'm going to try to link guide videos for each on of these in the future. But for now heres a GREAT video on each exotic weapons.

Shattered Memory Fragment- Pocket Infinity Fusion Rifle

Note: Fairly sure this one is totally right.
Objective: Track down Fireteam Tuyet's last stand.
Description: One of our Venus patrols found a memory fragment on the remains of a destroyed Vex. This fragment concerns the final mission of Fireteam Tuyet, lost long ago on Venus' Shattered Coast. Perhaps one of their Ghosts can be recovered.
Reward: Pocket Infinity (Fusion Rifle)
Steps:

• Obtain a Damaged Ghost from Venus' Shattered Coast somehow.
• Kill a Vex Gate Lord in a heroic story mission to obtain Restored Ghost.
• Bring the ghost to the speaker to obtain Fusion Rifle Schematics.
• Bring the schematics to the gunsmith to obtain Depleted Exotic Weapon Core.
• Dismantle 10 rare or higher quality Fusion Rifles to obtain Charged Exotic Weapon Core.
• Bring the core to the gunsmith to obtain Unstable Prototype Fusion Rifle Frame.
• Kill enemies in epic activities to obtain Stabilized Prototype.
• Bring the prototype to the gunsmith to finally obtain Pocket Infinity.

A Dubious Task- Invective Shotgun 

Note: Fairly sure this one is totally right.
Objective: Talk to Ikora Rey.
Description: The Warlock Vanguard, Ikora Rey, left a posting here - signed, handwritten, and asking for you.
Reward: Invective (Shotgun)
Steps:

• Talk to Ikora Rey to obtain A request from Ikora Rey Part I.
• Complete a total of 5 strikes without dying to obtain A request from Ikora Rey - Completed .
• Return to Ikora Rey to obtain A request from Ikora Rey Part II.
• Earn a Kills/Death spread of 25 in the Crucible to obtain A request from Ikora Rey II - Completed.
• Return to Ikora Rey to obtain A request from Ikora Rey Part III.
• Complete a weekly challenge mission to obtain A Clot of Darkness.
• Return to Ikora Rey to obtain Invective [Uncharged].
• Purchase an Invective component from the Gunsmith for 50 special weapon ammo packs to obtain Invective [Charged].
• Return to Ikora Rey to finally obtain Invective.

A Light in the Dark -Thorn handcannon

Complete The Summoning Pits Strike on the Moon.

Kill 500 Hive enemies on the Moon.

Use Void Damage to defeat guardians in the Crucible. Death will slow your progress. Must get 500 points by gaining 5 points per kill and losing 2 per death.

Kill Xyor, the Unwed in the level 26 version of The Summoning Pits.

Return to The Speaker.

Toland's Legacy (BAD JUJU ) Pulse Rifle

Note: Fairly sure this one is totally right.
Objective: ???
Description: Guardians on vital strike missions have found signs of Toland the Shattered, a once esteemed Warlock whose obsessions led to his exile. The Vanguard would like you to investigate his trail.
Reward: Bad Juju (Pulse Rifle)
Steps:

• Complete a heroic or epic strike to obtain Toland's Journal [Fragmented].
• Bring the journal to Ikora Rey to obtain Toland's Journal [Fragmented].
• Complete additional strikes to obtain Toland's Journal [Encrypted].
• Bring the journal to Ikora Rey to obtain Toland's Journal [Decrypted].
• Bring the journal to the gunsmith to obtain Black Market Coupon.
• Bring the coupon to Xûr to obtain Darkness-infused weapon frame.
• Bring the weapon frame to the gunsmith to obtain Darkness-infused Pulse Rifle.
• Defeat guardians in the crucible to obtain Sated Pulse Rifle.
• Return the weapon to the gunsmith to finally obtain Bad Juju.

A Voice in the Wilderness- Super Good Advice - Machinegun

Find A Mournful Gun by opening loot caches on Mars.

Buy an ammunition module from Xûr for one Strange Coin to obtain A Recalcitrant Gun.

Bring the frame to the Gunsmith to obtain A Pleased Machine Gun frame.

Kill 500 enemies with a machine gun to obtain An Enthusiastic Gun.

Bring the frame to the gunsmith to obtain Super Good Advice.

The quest structure of the Bounty may differ from player to player; in some cases, the player can find "A Recalcitrant Gun" directly from the loot chests in the first phase of the tasks. Therefore, the structure is so far confirmed as follows:

Find a A Recalcitrant Gun by opening loot caches on Mars.

Bring the gun to the Gunsmith to obtain A Mournful Gun.

Buy an ammunition module from Xûr for one Strange Coin to obtain A Pleased Machine Gun frame.

Kill 500 enemies with a machine gun to obtain An Enthusiastic Gun.

(note: kills give 1 point, headshots give 3 points, kills with rocket launchers takes 5 points)

Bring the Frame to the Gunsmith to obtain Super Good Advice.

An Uknown Patron-   Fate of All Fools- Scout Rifle (THERES NOT MUCH ONLINE ABOUT THIS WEAPON YET)

Win 5 Crucible matches to obtain An Invitation.

Bring the invitation to the Bounty Tracker to obtain The First Test.

Perform feats of skill in the Crucible to obtain The First Test - Completed.

Return to the Bounty Tracker to obtain The Second Test.

Trade Mote of Lights for Osiris Coins. Use the coins to compete in the Trials of Osiris. If you loose 3 times you will need to use another coin. Earn 10 wins on a single coin, or 25 wins total in the Trials of Osiris to obtain The Second Test - Completed.

Return to the Bounty Tracker to obtain The Third Test.

Perform kills, headshots, and killing sprees with any scout rifle in the Crucible to obtain The Third Test - Completed.

Return to the Bounty Tracker to finally obtain Fate of All Fools.