Zib's band has been a standard at Lackadaisy since before Atlas was killed and Lackadaisy went into decline. As of "Hallelujah", in which the band first appears, current members include Zib on saxophone, Rocky on violin, a pianist named Mozzie, an unnamed upright bass player and an additional musician whose instrument is not revealed.
Zib seems to take care of his musicians to some degree, as in "Hallelujah" he asks Mitzi whether he should be using his pay to purchase train tickets for them.
"Kibitz" establishes that the band seem rather lazy, or at least averse to hurting themselves through manual labor. Nonetheless, they accompany Rocky back toward the garage.