We present evidence for renormalization group fixed points with dual m
agnetic descriptions in fourteen new classes of four-dimensional N = 1
supersymmetric models. Nine of these classes are chiral and many invo
lve two or three gauge groups. These theories are generalizations of m
odels presented earlier by Seiberg, by Kutasov and Schwimmer, and by t
he present authors. The different classes are interrelated; one can fl
ow from one class to another using confinement or symmetry breaking.