Ace of Spades

This emblem randomly dropped from Cayde's treasure map chests. These chests (and the emblems themselves) can no longer be found after Cayde's passing.

Arcadian Valley

You can find this emblem as a random drop in rank-up rewards on Nessus; this emblem is a guaranteed drop after ten (10) packages.

Laurel Triumphant

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

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.

SUROS Upgrade

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

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.