A few years ago, Jinho Baik and I discovered a family of eigenvalue distributions interpolating between LSE and LOE, plus another family interpolating between LUE and LOE^2, via degeneration from discrete (Meixner) analogues based on growth models.  The interpolating little q-Jacobi ensembles generalize these discrete ensembles; the new ensembles, in addition to producing Jacobi analogues in a limit, can also naturally be defined for general values of \beta.  I'll define these ensembles and give explicit probabilistic models of several special cases (including random matrix models of the original interpolating ensembles).  Time permitting, I'll discuss some further natural generalizations, for which stochastic models are still lacking.