There's a total of ten side quests that get unlocked over time as you complete main story missions.
1. "Boruto's Ten Tasks" Konohamaru will have you complete Ten tasks
- help 1 person
- help 10 people
- complete the D rank in the VR Facility
- complete the B rank in the VR Facility
- complete the A rank in the VR Facility
- complete 1 side quest
- complete 5 side quest
- complete 1 sudden event
- complete 10 sudden events
- Defeat Konohamaru in a spar (this won't appear until you've done all previous 9 tasks)
2. "A Ninja's Legacy" Shikamaru will task you with completing several battle in the VR Facility. There's D, C, B, A, and S rank matches. There's a total of 43 matches you must win for this. Doesn't matter what grade you finish with just as long as you win.
3. "The Leaf Village Girls' Club" This has to do with flashbacks with Sakura
4. "Rebuilding the Exam Hall" Rock Lee will have you search for Kakashi and Might Guy
5. "Caught Up in Another Exam" Shino will have you take another written test like the Chiming exam test from the story missions.
6. "The Flag Test Again" Ten Ten will have you do a tougher Flag test than the one from the main story.
7. "The Uchiha Couple" Sara will want help sparring with her mom, Sakura.
8. "Fierce Battles During the Durability Inspection" Rock Lee will have you fight some matches to test the durability of the new Chunin Hall
9. "The Kazekage's Gentle Eyes" Gaara will have you go through a match
10. "Finding Himawari" your mom, Hinata, will task you with searching for your missing sister, Himawari.