Confluence of Light

Codes for this emblem were given out by Bungie at various conventions in 2017 as part of promotional appearances for Destiny 2's launch.

A Cold Wind Blowin'

Complete the "Rogue Light" Triumph during Season 04. Once you redeem the Triumph, the Drifter will sell the emblem (only during Season 04).

Blood of Izanami

Complete the "Reunited Siblings" Triumph, which required you to kill 500 enemies with Izanagi's Burden at the Izanami Forge. No longer obtainable after this forge entered the DCV.

Vengeance of Volundr

This Triumph required you to get 500 kills with Jötunn at the Volundr Forge. No longer obtainable since this forge entered the DCV.

Soldier On

This Triumph required you to complete 25 Nightfall strikes during Season 05.

Transcendent

This emblem will drop upon completion of the "Ascendant Paragon" Triumph, once you complete all six (6) Ascendant challenge time trials.

Gofannon's Fire

Kill 500 enemies with Le Monarque at the Gofannon Forge to complete this Triumph. No longer obtainable after this forge entered the DCV.

Dazzling Iridescence

Rewarded for going Flawless in Trials of Osiris without ever trailing in any wins on the card.

Damage, Incorporated

Reach Valor rank Legend in Season 04.

Moments of Triumph 2021

Obtain 15,000 Triumph Score and redeem the Moments of Triumph 2021 Triumph, "Triumph Master."

Better Failsafe Than Sorry

These emblem variants can drop once you reach a certain score threshold in a Nightfall. The drop rates are unknown, but if you are looking to get this variant, you'll want to go for a high score run (get the highest score possible) in the related Nightfall, then do speedruns of the Nightfall until the emblem variant you want drops. Note this is a variant of the emblem named after the Nightfall it drops from.

Meyrin's Vision

Source: Solve the French glyph puzzle.

Vanguard Terminus

You needed to rank up to rank 25 in Season 04, then purchase the emblem from Zavala.

Operation Caliente

During Season of the Haunted (Season 17), earn 7,777 Solar final blows. The emblem can be redeemed from Bungie Rewards (link below). The emblem's name was changed from "G-Type" in Destiny 2 v6.1.0.4.

Ollywocket

Obtained by reaching Rank 16 with Lord Saladin in the first reward track during Episode 01: Echoes.

Obsidian Dreams

Complete "The Lost Souvenir" quest. This requires you to solve the "Lost Datapad" item. No longer obtainable after the forges entered the DCV.

Satou's Secret

Source: Solve the Japanese glyph puzzle.

Saladin's Pride

You needed to reach at least level 5 in the Ages of Triumph record book in Destiny 1 before August 1st, 2017. The Ages of Triumph record book was available as part of the Rise of Iron expansion.

Strike Operator

Complete the Vanguard seasonal quest "City Defender" during Season 10.

Rasmussen's Gift

Source: Solve the Norse glyph puzzle.