The SS Buckaroo Banzai was a Terran BBI-993-type starship that was in service in the mid-22nd century.
In 2137, Captain John Whorfin was the commanding officer of this ship. In that year, the ship was launched from Earth for a mission to Planet 10 (DIM-8). (TNG: "Up The Long Ladder", okudagram)
This starship was only mentioned in writing.