  A class of calculable global models for neutrino oscillations based on
Lorentz and CPT violation is presented. One simple example matches established
neutrino data from accelerator, atmospheric, reactor, and solar experiments,
using only two degrees of freedom instead of the usual five. A third degree of
freedom appears in the model, and it naturally generates the MiniBooNE
low-energy anomalies. More involved models in this class can also accommodate
the LSND anomaly and neutrino-antineutrino differences of the MINOS type. The
models predict some striking signals in various ongoing and future experiments.
