Draconis Tetrachroma

Awarded by winning a Destiny 2 content creator giveaway during Season of the Wish.

Prismatic Horizon

Obtained by pre-ordering The Final Shape. Please note this emblem is different from The Final Shape Collector's Edition emblem.

Paracausal Path

Obtained by pre-ordering The Final Shape. Please note this emblem is different from The Final Shape Collector's Edition emblem.

Neomuna Nights

Obtained by pre-ordering Destiny 2: Lightfall.

Regency

Pledge to New Monarchy during a Season 01 Faction Rally.

Traveler's Flight

This emblem originally dropped from Io reputation packages. No longer obtainable after Io entered the DCV.

The First Wave

This emblem is granted for participating in the Destiny 2 Beta.

New Pacific Arcology

Originally obtained by turning in planetary materials to Sloane on Titan. No longer obtainable after Titan entered the DCV.

Laurel Triumphant

Complete one (1) Moment of Triumph during Destiny 1's first year.

Trostland Terminus

From Destiny 2 v6.3.0 onward: Purchase from Devrim Kay in the EDZ for 10 Legendary Shards.Previously: Turn planetary materials into Devrim Kay and this emblem will eventually drop. No drop rate data is available, but this emblem doesn't seem to be very rare.

European Dead Zone

This emblem randomly drops from rank-up packages in the EDZ; it's a guaranteed drop after ten (10) packages. Appears to be vaulted after Beyond Light.

Hakke Upgrade

Turn in Gunsmith Materials to Banshee-44; this emblem may drop when you decrypt the engram he presents.

Rally the Flag

This emblem will drop upon your first Heroic public event completion. No longer drops after Beyond Light's release.

Playin' the Odds

Appears to be unlocked the first time you talk to the Drifter. If you have more concrete info, please contact me on Twitter @EmblemCollector.