This is the second of two papers on the propagation of molecular wave packe
ts through avoided crossings of electronic energy levels in a limit where t
he gap between the levels shrinks as the nuclear masses are increased. An e
arlier paper deals with the simplest two types of generic, minimal multipli
city avoided crossings, in which the levels essentially depend on only one
of the nuclear configuration parameters. The present paper deals with propa
gation through the remaining four types of generic, minimal multiplicity av
oided crossings, in which the levels depend on more than one nuclear config
uration parameter.