Is anything bigger on the inside apart from Time Lord technology?

The Dalek time machine first seen in "The Chase" was also dimensionally transcendent (bigger on the inside), as was the Genesis Ark seen in the New Series episode "Doomsday". I don't know if any species other than Time Lords and Daleks were ever shown to have this technology, though.

edit: As Rand al'Thor points out in a comment, some dialogue in "Doomsday" (transcript here) indicates the Daleks stole the Genesis Ark from the Time Lords rather than building it themselves:

MICKEY: But why would they build something they can't open themselves?

BLACK DALEK: The technology is stolen. The Ark is not of Dalek design.

ROSE: Then who built it?

BLACK DALEK: The Time Lords. This is all that survives of their Home World.

On the other hand, some dialogue in "The Chase" (transcript here) indicates the time machine there was at least built by the Daleks, though it's possible they learned some technological secrets from the Time Lords:

BLACK: Give your report.

DALEK: Our time machine has been completed.

And aside from the fact that we see it appears smaller outside than inside, there is also this bit of dialogue when the Doctor boards the Dalek time machine:

DOCTOR: Oh, I'd be delighted! You know, this must be an extremely advanced machine. Wherever we went, it followed us with such great precision and accuracy. You could travel anywhere in it.

VICKI: It's huge inside, you know, just like the Tardis.