The most boring example is x-rays. Slightly less boring are the radiation therapies for cancer.

What is maybe the most applicable that is widely accepted is electric therapy for people recovering from ACL surgeries.

Jaundice in babies is treated with EM radiation in the 420–470 nm range.

Gamma knife? Basically the entire field of radiotherapy? TMS is magnetic, not EM (the coil generates a magnetic field, which induces localized currents in the body being treated)

>TMS is magnetic, not EM (the coil generates a magnetic field, which induces localized currents in the body

ME? the coil generates an M which induces localized E in the body as shown by localized currents? (which produce some more M, but only just enough)

OP is making a distinction between "EM Radiation" (i.e. "light") and "Quasistatic fields".

This is warranted because they are pretty different - light has a frequency distribution, diffracts, etc, and can be focused to propagate energy over distances large compared to its source, whereas quasistatic fields (by definition) have no frequency distribution, and die as 1/r^2 or faster

I can't parse what you are saying, but there's a difference between EM radiation and a magnetic field (and the resulting locally induced currents). Think in terms of an MRI machine: it puts you in a giant magnet (causing the various nuclear spins to align with the field) and then sends a bunch of EM radiation (radiofrequency). The former is a magnetic field, not EM radiation.

it's all E x B, just different functions for E and B