There are many things that can be considered Key Moments in Minecraft, so I will list some that would make sense for Outplayed to use as Game Events!
1. Advancements/Completed Challenges
2. Boss Killings (Boss Mobs with Bossbars attached, possibly mods included.)
3. Hardcore Death (When a player dies in Hardcore Mode.)
4. Beating the Ender Dragon.
5. Getting Diamonds or Netherite Items.
6. First Nether Portal in a World.
7. Finding a Stronghold.
8. Finding a Nether Fortress.
9. Activating the End Portal.
10. Getting the first Elytra.
11. Player Kills. (Multiplayer) and Player Deaths (Single/Multi)
12. Surviving long falls. (MLG Bucket, clutch waterpool falling, etc.)
13. Spectator View after Hardcore Death(?)
14. Taming Entities (Dogs, Cats, etc.)
15. Creeper Kills/Hurts (Because funny.)
(One random thing, is that Bedrock Edition should maybe also be supported, if not already.)