We study boson star configurations with generic, but not nontopological, se
lf-interaction terms. When compared with the usual lambda\psi\(4) potential
, similar results for masses and number of particles appear. However, chang
es are noticed in the order of a few percent of the star mass. We explore,
using catastrophe theory, the stability properties of the configurations an
d look for possible observational outputs that may differentiate one model
from the other: gravitational redshifts, rotation curves of accreted partic
les, and lensing phenomena are computed for our new cases.