Story Quests consist primarily of chapters related to the background and personalities of each playable character or alternatively event quest lines.
World Quests are unlocked by speaking to NPCs throughout Teyvat. They give insight into the various locations and stories of the world.
Commissions are usually simple daily quests players can complete for rewards, but some have a unique story tied to them.
See each page for more details and a list of quests of that type.
In some cases, it will not be possible to join a quest due to a key character being involved in another quest. The player can go to the quest menu to find out which one must be cleared so that the target character will be "free" for the original quest. This mechanic is mentioned in a Loading Screen.