Mongoose has published
- The Trailing Frontier [Ley and Gateway]
- Solomani Front [the Rim and Alpha Crucis]
- The Deep and the Dark [Reavers Deep and Dark Nebula]
- The Third Imperium [Core Sector]
- The Great Rift [with the Islands subsectors]
Now, there's older material and apocrypha for all these areas, but you have the essentials to run full campaigns in all these areas and not have psionics present at all.
The thing is that every region of the Third Imperium, or even all of Charted Space, has it's own local hassles.
- Ley Sector has incompetent nobles and Cows with Guns.
- The Solomani Rim has the racist Sollies.
- The Deep has the Sollies, adds an impending race war with the Aslan and a faux-Scotland every single bit as fake as Mel Gibson in a plastic kilt. Every single sector of the Imperium has a threat or inconvenience within it, just as every one of them has a large dollop of nonsense in it. I mean, if psionics gets on your nerves, there's always the Hivers to make it even weirder.