Endless Daylight: A property of more than a few worlds in the Empire. Some, like Eurymir, because they’re tide-locked, and the noon pole always points at the sun. A similar situation applies to the hexterranes of Coricál Ailék, which are oriented such that “up” is always sunward, and the danglehabs of Esilmúr, in which down is always sunward.
In other cases, it’s because the world inhabits a binary system. Eliéra, for example, has this periodically – in a manner of speaking – because for half the year, the summer, it is located between the two suns, and as such each side of the world receives some insolation. (Although, obviously, not identical – it still has a day-night cycle; it’s just that it alternates between full daylight and a red-tinged twilight that’s bright enough to read by, somewhat more so than a full moon.)
Big Dumb Object: Oh, plenty. Leaving aside those belonging to elder races – and thus little known due to the ability to enforce the Do Not Taunt rule – the Empire has a partially completed Dyson Sphere in the works at Corícal Ailek (it’s where the Transcend keeps its brain; and it’s the swarm kind, not the shell kind) and another at Esilmúr (a primary antimatter production facility; the solar-wind-inflated-bubble kind), and the Photonic Network has at least one under construction somewhere in its interior. Then there are assorted Stellar Husbandry Arrays floating over Imperial stars and keeping them running nice and smoothly and for rather longer, in theory, than they otherwise would.
Some spacedocks/construction slips probably qualify in the minor leagues due to the sheer size of a fleet carrier/grapeship megafreighter, as does the Conclave Drift drift-habitat that houses the Conclave of Galactic Polities, and I suspect that the manufacturer would strongly contend that the Ring Dynamics, ICC Interstellar Stargate (Mark III), a.k.a. the big framework/space station/support machine that wormhole ends get wrapped in, absolutely counts for these purposes.
And there’s more…