Black Skies

Purchase anything on the Bungie Store during the week of Black Friday 2018.

Rasmussen's Gift

Source: Solve the Norse glyph puzzle.

Lunar Memoriam

Find all ten (10) Ghosts on The Moon. The first nine (9) can be found on the surface of The Moon; there are a number of good videos for those on YouTube. The final Ghost can be found in The Pit in the Pit of Heresy dungeon. Please note you'll need to finish the Shadowkeep campaign for these Ghost retrieval missions to appear in Eris' inventory.

Living Vestige

This pursuit has three steps to it, with multiple objectives in each step. The first two steps will give you shaders while the third step awards this emblem.

Chasing Perfection

Earn seven wins on one single Trials of the Nine ticket.

Rain of Ashes

You can purchase this emblem from Lord Shaxx after completing the Crucible Triumph "Season 6: Combat." Thanks to reddit users pistonhjr and Malek_Deneith for their help!

Victory's Wreath

Shaxx's inventory item says, "Requires completion of the Rubicund Wrap quest."

Magnificence in Action

Complete the Solitice of Heroes Triumph, "Renewed," which requires acquiring a set of Majestic Solstice armor.

Red Legion Aegis

Turn in tokens to rank up with Ikora; each engram she offers has a chance of dropping this emblem. Note this emblem was retired at the beginning of Destiny 2: Forsaken, when Ikora was removed as a vendor.

Determination

Complete the Vanguard Triumph, "Season 6: Combat". Once completed, purchase it from Zavala.

Apparatus Belli

Collect all four (4) Seraph (AKA IKELOS) weapons. No longer obtainable after Mars entered the DCV.

Pushing Down Daisies

Complete "Vex Offensive: Final Assault" for the first time.

Moments of Triumph 2019

Complete any Triumph from the 2019 Moments of Triumph set before 2019-08-27. As of Destiny 2 v2.5.2.1, the end date of Moments of Triumph 2019 has been extended to 2019-09-17.

Long-Boy Special

Complete the Season 11 questline, "Vanity in Dark Times."

Devrim's Perch

This emblem and its variants can very rarely drop when opening random chests lying around the EDZ.

No Quarter

Complete the Crucible quest "A Display of Power" during Season 09.

Return TYRANT++

Obtained after defeating 25 Escalation Protocol bosses.

The Wolves Unleashed

You needed to play (to completion) one (1) Iron Banner match during the time when Lord of Wolves was accidentally overpowered. Either of first two Iron Banner events during Season 07 counted. These emblems were handed out as Triumphs during the week of July 29th, 2019.

Orbital Cartographer

Find the hidden NASA probe on the Moon. In the K1 Logistics Lost Sector, make your way through the Lost Sector until you get to the boss room. There will be a small room with a locked door on the right side; the probe should be on top of that building. Interact with the probe to unlock the emblem. For a video walkthrough, please see the link below.

Burnished Blade

This pursuit has three steps to it, with multiple objectives in each step. The first two steps will give you shaders while the third step awards this emblem.