Stations orbiting within planet rings.

[Ian Doncaster]

And yeah, “being inside the ring” is not entirely accurate, as they’re offset as you say. But its sufficient enough to distinguish their relative orbit to other stations that are not in the offset proximity.

Foster Terminal and Moore's Charm aren't offset even by a few kilometres - they're exactly in the plane. Foster especially is spectacular.

Berman Market in Alberta is the fifth Colonial ring-station not mentioned yet.

And not stations, but Colonia Bastion and Colonia Applied Research (both near Colonia 4) are installations fairly close to the plane of the rings ... and the New Queen VI at Kinesi 5 is a third.

 

[Felix DiCestria]

Big Pappa's Base: Andhrimi

 

[SpeakerToAliens]

Titan's Daughter, Taygeta.

 

[TOWRPN]

I've only seen one (not really 'inside' the ring, just a few kilometers away).
Hustler's Ambition in the Chamas system