A subalgebra A of the algebra B(H) of bounded linear operators on a separable Hilbert space H is said to be catalytic if every transitive subalgebra containing it is strongly dense. We show that for a hypo-Dirichlet or logmodular algebra of essentially bounded analytic functions acting on a generalized Hardy space H2(m) for a representing measure m that defines a reproducing kernel Hilbert space is catalytic. For the case of a nice finitely-connected domain, we show that the holomorphic functions of a bundle shift yields a catalytic algebra, thus generalizing a result of Bercovici, Foias, Pearcy and Douglas.