From Destiny 2 Wiki
The currently-active challenges for the EDZ can be checked by going to bungie.net, clicking on the magnifying glass in the upper-right corner, and searching for "European Dead Zone".
1. Area Infiltration
- Lost Sectors: [region name]: Loot a Lost Sector near [region name].
- EDZ Scavenger: Gather [10 Dusklight Shards / 3 Dusklight Crystals].
- Fallen Raider: Loot three Fallen supply caches.
- Red Legion Raider: Loot three Cabal supply caches.
- Event Horizon: Successfully complete a public event.
- Walk the Beat: Complete three Patrols. [Listed on bungie.net as Walking the Beat.]
3. Enemy Kills
- Scourge of the [enemy faction]: Defeat 75 [enemy faction] enemies.
- Pikejacked: Steal a Fallen Pike and use it to defeat 20 enemies.
- You Got Served: Destroy 5 Fallen Servitors.
- Decimation: Defeat 5 Cabal Centurions.
- Devrim's Sniper School: Use a Sniper Rifle to defeat 10 enemies in the town of Trostland.