We construct open descendants of Gepner models, concentrating mainly o
n the six-dimensional case, where they give type I vacua with rich pat
terns of Chan-Paton symmetry breaking and various numbers of tensor mu
ltiplets, including zero. We also relate the models in D < 10 without
open sectors, recently found by other authors, to the generalized Klei
n-bottle projections allowed by the crosscap constraint.