Secret Treasure

Open the secret chest at the end of the Mindbender adventure. Only available as part of the Forsaken campaign now that Flashpoints have been removed from the game.

Second Chances

Available via Bungie Rewards. Awarded for completing the New Light intro quest. Available until 2022-12-31.

At the Vanguard

Earn rank-up packages with Zavala and this emblem has a chance to drop when decrypting the engram he offers.

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.