It's important to note that even during what I consider to be the peak of "Emo" many bands never accepted the moniker, although I've found that a lot of bands (especially punks bands) tend to reject genre labels. Still, if you want my opinion on what's "Emo", this list is a good start:
You Don't Know Shit About Emo
Created by Brian Audette on Spotify
Created by Brian Audette on Spotify