Sign of the Gambit

Play Gambit during one of Bungie's Gambit preview events (pre-Forsaken launch). This was also a $10 donation reward during Bungie's pre-GuardianCon 2019 livestream.

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.

Emblem of Synth

Purchase any item from the Bungie Store during the Season of Opulence.

Thrill of the Chase

Complete 75 (of 77) Seasonal Challenges during Season 13: Season of the Chosen. Once you complete the "Master of All" Trimuph, this emblem will be available via Bungie Rewards.

A Sibyl's Dreams

Complete all eight (8) Nightmare Hunt Time Trials on Master difficulty on The Moon. You can find the Time Trial Triumphs in the Triumphs menu under Journey -> Triumphs -> The Moon -> Nightmare Time Trials.

Damage, Incorporated

Reach Valor rank Legend in Season 04.

Planet of Peace

Obtain this emblem by redeeming one (1) Credit during the Game2Give 2024 Fundraiser.In 2023: Raise (not donate) at least $777 during the Bungie Day Giving Festival 2023.In 2022: Donate at least $100 during the 2022 Bungie Day Giving Festival. Previously: Purchase Destiny 2 Bungie Foundation merchandise. Eligible items can rotate in the store; please double check any Foundation-related Bungie Store listings to make sure it comes with this emblem.

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.

Helios Crown

Awarded for completing the Solstice of Heroes 2021 initial campaign, then redeeming via Bungie Rewards.

Contender's Signet

Complete your first strike in the Guardian Games Strike playlist (during Guardian Games 2021), then redeem this emblem from Bungie Rewards (link below).

Vanguard Terminus

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

A Forest of Red

This emblem randomly dropped upon completion of this Nightfall. No longer obtainable since this strike has entered the DCV.

Knighted

Earn 7,777 Arc final blows during Season 18, Season of Plunder, then redeem from Bungie Rewards.

Take the Throne

Defeat Emperor Calus on Challenge Mode. No longer obtainable after Leviathan entered the DCV.

An Inscrutable Amygdaloid Eigenstate

This emblem randomly dropped upon completion of this Nightfall. No longer obtainable since this strike has entered the DCV.

Gift Giver

Complete fifty (50) bounties for Eva Levante to complete the "Dawning's Bounty" Triumph. Claim the Triumph to unlock the emblem.

Splish Splash

Complete the "Royal Pools" challenge in the Leviathan raid. No longer obtainable after Leviathan entered the DCV.

Savior of the Past

In the Corridors of Time, follow this pattern: Diamond, Clover, Snake, Plus, Hex, Hex, Plus, Hex, Diamond, Clover, Snake (Credit to /r/raidsecrets).

Forged in Grace

Complete King's Fall in Destiny 2, then redeem this emblem from Bungie Rewards. Was originally a reward for completing ten (10) Sherpas before it was changed on 2022-09-01.

Dance the Demons Away

Complete the Gambit Triumph "In Sync," where the entire team deposits 60 motes at once. This emblem will drop once you redeem the Triumph. Removed in Destiny 2 v3.0.0.0.