The USS Crick was a Nebula-class Federation starship in service during the 24th century.
The Crick was among many Nebula-class starships to be involved in the fight against the Borg invasion of 2377. (TNG video game: Armada II)
Crick is almost certainly named after eminent 20th century Nobel laureate Francis Crick, one of the co-discoverers of the structure of deoxyribonucleic acid (DNA).