  We consider two classes of non-minimally coupled inflation models; those with
a quadratic coupling of the inflaton to gravity, and the `Universal Attractor'
models where the coupling is connected to the potential. We make a detailed
analysis of the attractor structure in the latter case, identifying a shift of
the attractor from the Starobinsky point and determining conditions for
approach to the attractor. We then assess the viability of the models under
different interpretations of the BICEP2 experiment's detection of B-mode
polarisation, finding strong constraints on the non-minimal coupling in the
case where the B-modes have mostly primordial origin.
