Relative Dimension

If Galaxy Quest were to have a direct Star Trek counterpart, it would have to be Enterprise... which is odd, because it predated Enterprise by two years.

Archer would be, as captain, Peter Quincy Taggart; T'Pol would have to be Tawny Madison, because it's a mystery as to how her boobs fit into her suit; Travis would be Laredo, the pilot; Trip would be Fred Kwan (or whatever Tony Shaloub's character's character's name was); and Dr. Lazarus would kind of have to be a combination of Dr. Phlox and Malcolm Reed. Which leaves Hoshi as either the weird alien chick or Ensign Redshirt.

Andromeda seems to be the long-lost sibling of Firefly. Observe.

Dylan Hunt / Malcolm Reynolds - the gloomy and driven but sometimes silly captain with a big depressing chunk of personal history.
Beka Valentine / Zoe - Warrior Woman. 'Nuff said.
Trance Gemini / Kaylee Frye - Shiny happy people (and cute as buttons to boot).
Tyr Anazazi / Jayne Cobb - The hired muscle...except Jayne was funny... and you know, likeable.
Seamus Harper / Wash - They have the same wardrobe, and they even look a bit like each other. It's kind of scary, actually.
Rev Bem (Bev Rem?) / Book - "Just keep on walkin, preacher man."