Cool idea. Not sure I agree with the order, but it's a nice list. Details in the link.
https://www.cbr.com/dcs-most-epic-headquarters/
10. Challengers Mountain: Challengers Of The Unknown
9. Secret Sanctuary: Justice League Of America/Legion Of Super-Heroes/Doom Patrol
8. Tower Of Fate: Doctor Fate
7. Fortress Of Solitude: Superman
6. Legion Clubhouse: Legion Of Super-Heroes/Legion Of Substitute Heroes/Legionnaires
5. JLA Watchtower: Justice League
4. Legion Headquarters (the 1980s): Legion of Super-Heroes
3. Batcave: Batman
2. Titans Tower: Teen Titans/Titans
1. JLA Satellite: Justice League of America