NOTE: You can get parts installed at any mech store. That's where you also buy parts and ammo.
Earth
America:
Starfleet Academy: Where you train in order to join Starfleet.
Arizona Training Academy: Learn basic skills here. Mech store.
Great Lakes Recovery Center: Where pilots and soldiers can rest and have their vessels fixed.
Maquis Training Center: Learn the art of being a mercenary (soldiering) here. Mech store.
Europe:
London Training Base: Learn any skill here. Also for general training. Mech store.
ER: Recovery center where mechs can be fixed. Pilots can get jobs here.
Japan:
White Fang Base: General training. Mech store.
Osaka Clinic: Recovery center. Pilots can get jobs here.
Space
Utopia Planitia: Buy starships here. Pilots may get jobs here.
Deep Space 9: Buy extra ammo here. Enjoy the Promenade. Pilots can get jobs here.
L1 colony: General training. Pilots may get jobs.
L2 colony: General training. Pilots can get jobs. Recovery center. Mech store.
L3 colony: General training. Buy ammo. Pilots can get jobs.
L4 colony: Same as the last one.
L5 colony: Same as the last one.
Badlands: Maquis HQ
If you think of a location (like a place for your new organization if you make one) just tell me the name and where it is (earth; space; which country) and I'll be glad to add it.