Well a synchrotron can fuck you up. But thats more then neutrinos. =) The reasoning I had about neutrinos being harmful is that over time they would damage the heavy metal shielding used on the reactors. The reactors I suppose are shielded more to keep machinery in good order than the people around them. A short burst would probably do no harm.
I guarantee you that a lifetime of constant exposure to neutrinos has little ill-effect. The Van Allen belts, the atmosphere, even the planet itself do nothing to shield you from them (that's why be build neutrino detectors underground -- that shields out all the other radiation, leaving just the neutrinos to look at). If anyone ever invents a substance capable of shielding neutrinos (other than literally light-year thick lead walls), I suppose it's possible they'd damage the shielding over time, but the heavy metal shielding used by reactors today are not damaged by the neutrinos, for pretty much the same reason that they don't stop them, either. The neutrinos simple don't interact with them. How do the detectors even see them, you ask? Because there are so many of them passing by that occasionally one does hit something. That's right, as we speak, you are currently being bombarded by a ridiculously huge flow of neutrinos. Trust me, it's mostly harmless...