This is not a skit, but just a straightforward version of the Star Trek: The Next Generation main theme by a bluegrass band, featuring Gordon Lustig on his five-string banjo, guitar, and mandolin as well. Lustig credits composer Jerry Goldsmith, noting that the tune was originally written for Star Trek: The Motion Picture. The music will make you smile, but the video of a starship shaped like a banjo might make you giggle. What's really funny are the comments at the YouTube page. Here's an example:
Space:
The Last Place I Reckon Will Go To.
These are Them There Adventures of the Starship Banjo-rpise.
It's contin-ya-in mission: to look fer new worlds, to russle us up some critters, and find like minded folks.
To go where none of y'all ain't ever been to!
Another imagines the cast of The Andy Griffith Show as the crew of the Enterprise. See more at the YouTube page.