These are the Diablo IV Side Quests found in The Fractured Peaks. Side Quests are identified in the map and the minimap as a blue exclamation mark. However, there are side quests that start from an item that drops from mobs, corpses and treasure chests in the open world (outdoors) or within dungeons. This list contains YouTube videos I uploaded for each Side Quest.

A Cold Faith (Item)Dobrev TaigaSoutheast Foothills
Better Days (Item)Dobrev TaigaKrol Forest
Bound by BloodDobrev TaigaMargrave
Call of the AncientsSeat of the HeavensBear Tribe Refuge
Chain of Possession (Lv 5+)Sarkova PassMenestad
Cries of InnocenceFrigid ExpanseEastern Plain
Depths of DespairDesolate HighlandsKyovashad
Exorcist's Cache (Item)Frigid ExpanseThe Deep White
Faith in BloodDesolate HighlandsKyovashad
Gold Well Spent (Lv 5+)Sarkova PassMenestad
Gory DisplayFrigid ExpanseOlyam Tundra
Hammer of the Champion (Lv 15+)
Legacies of Light's WatchDobrev TaigaMargrave
Malady of the Soul
Desolate HighlandsKyovashad
Menestad CoffersDesolate HighlandsKyovashad
Secret of the SpringFrigid ExpanseOlyam Tundra
Shattered Tribute
Seat of the HeavensBear Tribe Refuge
Sight to MadnessDesolate HighlandsKyovashad
The Beast's ChallengeSeat of the HeavensBear Tribe Refuge
The Cleansing FlameDobrev Taiga
The Sealed DoorDesolate HighlandsKyovashad
The Dread MartyrFrigid ExpanseOlyam Tundra
The Woodsman of NeveskDesolate HighlandsNevesk
Traveler's PrayerGale ValleyYelesna
Unwritten EndDobrev TaigaKrol Forest
Unyielding Flesh (Lv 7+)Gale ValleyYelesna