This chapter of our guide for Assassin's Creed: Odyssey contains descriptions of all side quests that can be found on Silver Islands archipelago - Delos and Mykonos are part of it.
This page in our guide for Assassin's Creed: Odyssey contains detailed walkthroughs and locations of side quests found on Delos.
The Sokratic Method
How to start: Speak with Sokrates.
Description: Go and save the prisoner. After that you have to escape from the enemy camp. Go back to Sokrates to end this quest.
This page in our guide for Assassin's Creed: Odyssey contains detailed walkthroughs and locations of side quests found on Mykonos.
"M" for Murder
How to start: Speak with the Beggar.
Description: Head to the Abandoned House. Run an investigation - examine every item marked by the game (do that on both floors). Go back to the Beggar. She tells you to go to the Leader House and retrieve the doll.
The doll is hidden behind the table. Go back to the woman - she is inside of the cave. Speak with her to end this quest.
Goddess of the Hunt
How to start: Speak with the man.
Description: Head to the temple and speak with Kyra. You will go with her on a hunt. Remember to reach the hunting grounds with her, not alone. If you run ahead, she will stop and stand in place. You will have to go back to her.
Kill three ibexes. After that you will go to the beach.
The Thaletas Way
How to start: Speak with Thaletas after Goddess of the Hunt quest.
Description: You have to destroy 3 Athenian ships. Board your ship, sail out and defeat the targets. You can now go back to the quest giver.
Paint the Sand Red
How to start: Speak with Thaletas after The Thaletas Way quest.
Description: You have to visit 3 places and kill 2 enemies. The last of them - the one that waits on the farm - isn't your enemy. Let him free. Then, you must go back to Thaletas.