Millennium Falcon
This page is part of Asymmetric Spaceships: A shrine to ships that violate symmetry on one - or better yet, multiple - axes.
One of the most iconic spaceships perhaps of all time, the Millennium Falcon is an excellent example of an asymmetric design with a reason: Cargo containers line up and the ship slots them into that gap in the middle.
The official (maybe a Legend now?) manual for the YT-1300 confirms:
Out of this a couple design choices suddenly make total sense: With a huge mass (of cargo) relative to the ship itself, you’d need engines to be laterally symmetric and the ship’s mass to be balanced around that… but, you only need one cockpit. You can’t put it dead center - the cargo’s got to go there. You have to offset it somehow… even when carrying cargo. So, cargo stacks along the travel axis, and “up”, and the ship itself sticks out to the sides… meaning the cockpit goes on one of the two sides. But, the ship is still largely symmetric around its center of mass, just, not in its layout or footprint.