https://secure.runescape.com/m=news/dmm?oldschool=1

The following quests will be auto-completed when you first login to a DMM world: Cook’s Assistant, Priest in Peril, Ernest the Chicken, Restless Ghost, Animal Magnetism, The Grand Tree, Tree Gnome Village, Monkey Madness, Dragon Slayer, Goblin Diplomacy, Rune Mysteries, Lost Tribe, Death Plateau, Shield of Arrav, Lost City, Merlin’s Crystal, Druidic Ritual (and 3 Herblore), Heroes’ Quest, Recipe for Disaster Part I.