History of World Quest

World Quest is a quest category in Destiny 2. In The Edge of Fate it covers optional Kepler quests that unlock after the campaign progresses. Guides usually call them side quests; the game data tags them as world quests.

Kepler world quests

Correspondence, Dark Academia, Forensic Horology, Hyperreal G-Man, Orientation, Sacred Emergence, Skylines, The Man Out Of Time, The Paper Crane, Transfer of Power, Turophile, Vessel of the Nine, plus Explore Kepler: Fabled and Explore Kepler: Mythic. The Explore Kepler pair appears after the campaign, at 150+ Power (Fabled) and 200+ Power (Mythic); one guide says they reward Matterspark IV and unlock AION Adapter armor variants. The exotic quest Graviton Through the Ages is a plain Quest, not a world quest.

Unlocking

Sources disagree. One guide says side quests open after the The Exile's Accord Strangelet and The Central Academy Strangelet quests; another places Dark Academia after the Outer Steppes Strangelet; the wiki's Dark Academia page says after the mission Morphology. Check in game.