Destiny Emblem Collector is the most complete source for Destiny emblems: what they look like, exactly how to get them, and whether they're still available.
DEC currently tracks 856 Destiny 2 emblems and 271 Destiny 1 emblems.
Do you want to get patch notes / DEC updates / emblem news without using social media? I set up a way for you to get updates in your inbox, the very same updates I post to Twitter/BlueSky.
Head over to https://destiny-emblem-collector.ghost.io/ to get signed up (it's free!)
Note that this is an experiment to see if this service works well. Please let me know if you run into any issues!