Sprung Monkey is a San Diego, California based band who played in the very first Buffy episode, "Welcome to the Hellmouth." So you could say they "set the tone" for every Bronze band that came after them. They also had songs in "The Harvest" and "The Pack."
All the songs are included in the 1998 album Swirl
.
There are several songs by Sprung Monkey in the first episode, according to The Buffy Guide but unfortunately some of them aren't on YouTube. But I did find several:
"Believe" plays as Buffy walks into the Bronze the first time.
Swirl plays when the ill-fated Jesse talks to Cordelia, then the vampire Darla at the Bronze. Ominous sound!
"Right My Wrong" was used in "The Harvest."
"Reluctant Man" is used in "The Pack," in which Xander becomes part of a human-hyena pack.