The small Talaxian freighter belonging to Neelix, in which he is scavenging when he meets Voyager in 2371 and which stays in the shuttlebay until he leaves in it seven years later.
The Baxial is Neelix's own ship in Star Trek: Voyager. In Caretaker the crew find him aboard it among a field of debris near the Ocampa homeworld, living as a trader and scavenger. When he and Kes join the crew, the ship is stowed in Voyager's shuttlebay.
It is seldom flown afterwards, but it is useful when Starfleet markings would be unwelcome. In The Chute Janeway uses it to slip up to the Akritirian prison station and get Paris and Kim out.
In Homestead, late in the final season, Neelix takes the Baxial to investigate Talaxian life signs and finds a colony of his people living inside an asteroid. After helping them to defend it against miners, he decides to stay. Voyager's crew line the corridor to see him off, and he flies the Baxial to his new home.