Hands down, The Heart Of Gold from Hitchhiker's Guide
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Han's boast is explained int Solo: A Star Wars StoryThe TARDIS is a little outdated. If it lands in Texas it could become target practice. A TACO truck would be more suitable, perhaps. TACO - Traveling Astrocraft for Cosmic Operations.
I think I flew too many hours in NCC1701 to not make it my personal favorite just based on experience or familiarity.
But there are far sexier/snazzier ones.
The Falcon would be my second choice since a Captain who thinks a parsec is a unit of time means the ship must be really easy to fly.
The ship in Passenger is one of the few that doesn't stretch fiction with crazy gravity. So, in a class of most respected design (closer to real science), it would even impress HAL (2001), I think.
Stargate.or maybe theyre a worm hole or that matrix or library or tardis they talk about in
the movie interstellar....