First to the Forge

Purchase anything on the Bungie Store during Season of the Forge.

Carrhae

Purchase the "Destiny Ghost Vinyl - Generalist Shell" and the emblem code will come in the box. As of early 2021, these Ghost Shells don't seem to be readily available. You may still be able to find them second hand, but please make sure any ones you buy come with the emblem code.

Meyrin's Vision

Source: Solve the French glyph puzzle.

Satou's Secret

Source: Solve the Japanese glyph puzzle.

Rasmussen's Gift

Source: Solve the Norse glyph puzzle.

A Flare for the Dramatic

This emblem drops randomly on Nightfall: The Ordeal clears of this strike.

Quarantine Zone

Complete a run of Zero Hour with 5:00 or more left on the clock. Can be completed in either Normal or Heroic.

Buried City

Participate in the first Destiny 2 Community Challenge: Mars, which takes place between 2019-09-03 and 2019-09-10. The community completed the challenges and the emblem was released on 2019-09-27.

Punctuation Marks

Reach 250 PvP kills in Season 05, then purchase the emblem from Shaxx.

Ennead

Present A Small Gift to all nine (9) of the Dreaming City cats.

Grizzled Wolf

After Lightfall: Has a chance to drop after an Iron Banner match.Previously: You can purchase this emblem from Lord Saladin during Iron Banner only in Season 07.

Another's Vengeance

This emblem drops randomly on Nightfall: The Ordeal clears of this strike.

Keep on Drifting

Complete the "Forged in the Dark" Triumph, which required you to complete three (3) Weekly Drifter Bounties and earn three (3) Gambit ranks.

Relic of the Golden Age

Originally obtained by opening chests on Mars. No longer obtainable after Mars entered the DCV.

Apparatus Belli

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

Warmind's Fortress

Originally obtained by opening chests on Mars. No longer obtainable after Mars entered the DCV.

Distant Tides

Complete the 30th Anniversary dungeon Grasp of Avarice, then redeem from Bungie Rewards. Available until 2022-12-31.

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.

No Quarter

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

Settled Differences

Complete the Cricuble seasonal quest "Fighting in Style" during Season 10.