I do like the Tardis. I know it is bigger on the inside... so my question is why is it round on the inside?
There are so many fictional ships to pick from but one favourite (might be a bit obscure) - MA Foster's ship of the Ler, from "Gameplayers of Zan", fitted out inside using wood. And why not? The ship is effectively a sphere of not reality detached from reality, sort of, and not subject to accelerations. The Ler (an artificial next-gen human species) were pretending, sort of, to be a low tech but intellectually rich society on their Reserve as they "built" it (grew it?) in secret. Some similarities to the Tardis as in the inside being someplace outside of normal space and time. (Sorry for spoilers if you haven't read it. I do like Foster - even if I cannot bring myself to really believe the things he came up with, he did a creditable job of making them seem plausible).
Greg Bear's "Hull Zero One" is another favourite - although that Hull is not the whole of the ship. No FTL or artificial gravity and uses up a whole ice planetoid for fuel - at least gets the scale of difficulty of interstellar travel right. No passengers from Earth as such though - the ship grows people as needed, including the colonists at the destination.
TV and Movie spaceships? I can't think of any that really stand out, for all the fantastic visuals. I think the top-like ships from early 1960's B&W puppet animation "Space Patrol" (could have been Planet Patrol? when broadcast in USA) still linger in memory, perhaps because they may have been my first exposure. They didn't do FTL or artificial gravity and used centrifugal "gravity". They had a freezer chamber - suspended animation - for the long trips.