Tokens obtained from quest missions from episodes 1, 2 and 3 (2 per quest)
Lady Betty Diagram Piece: 45 pieces from clear 10x milestone for episode 5, 35 pieces from drops from episode 5
Rotation Jacket Diagram Piece: 10 pieces from clear 1x milestone for episode 1, 15 pieces from clear 3x milestone for episode 2, 15 pieces from clear 1x milestone for episode 3, 25 pieces from clear 10x milestone for episode 3, 15 pieces from drops from episode 1, 2, 3 or 4
Spurred Boots Diagram Piece: 30 pieces from clear 5x milestone for episode 3, 30 pieces from clear 1x milestone for episode 4, 20 pieces from drops from episode 2 or 5
Cogwheel Scarf Diagram Piece: 40 pieces from clear 10x milestone for episode 4, 40 pieces from drops from episode 3, 4 or 5
Gyro Holster Diagram Piece: 10 pieces from clear 1x milestone for episode 2, 25 pieces from clear 5x milestone for episode 3, 35 pieces from clear 1x milestone for episode 5, 10 pieces from drops from episode 4
Sweet Rose Diagram Piece: 15 pieces from clear 3x milestone for episode 1, 25 pieces from clear 5x milestone for episode 4, 40 pieces from clear 5x milestone for episode 5, also drops from episode 1, 4 or 5
Tokens obtained from Edgar Job 3 Unlock Quest. 6 are required and 1-3 drop per clear
Reward Flask Piece (job level 2-4): 60 pieces needed. The preferred way to get these is via the Multi Coin Exchange, but they can also be purchased in the EX Coin Exchange, Friendship Coin Exchange, or via drops in story quests 2-1-3-10, 2-2-3-10, 2-3-3-10 (they are extremely rare drops in the story quests, like 1 in 100 clears)
Gyro Bag Piece (job level 5-7): 60 pieces needed. You can buy 10 pieces per month in the Veda Coin Exchange. The other 50 pieces come from the [The Hard-Boiled Road] Path to Job Master Milestones
Steel-Lined Wedding Aisle episode 5 quest mission to "Clear after using Blade Striker" which is the combo skill for Logi/Edgar - both units must have enough jewels and be next to each other to use it (40 pieces)
Breaking Through Your Limits mission to clear with Edgar as a main member - this event is time sensitive and returns only periodically (40 pieces)
Quick Repair Set (job level 11): Obtained from quest mission from [Hell] Final Trial [Edgar] after reaching job level 11 and receiving the trial key