Oven cleaner also works. Seek the old, eco-unfriendly types (eg. Easy Off in Australia). Don't use the nose-friendly ones; they're not strong enough to work well.
Wide-mouth salsa jar. Spray a layer on the bottom. Add a few minis. Spray again. Repeat if needed. Put lid on. Shake to make sure all surfaces are coated.
Let sit for 2 hours to a week (if you forget). It won't damage plastic or resin minis. Most glues will become brittle, or fail completely (in the week situation). You may get some surface discolouration on the mini, but this doesn't affect the surface.
Open jar in a laundry trough. Rinse thoroughly with water until paint bits stop coming out.Be careful not to wash any (now loose) mini bits out as well, or have a sink trap (recommended) to catch them if they do. Then scrub minis with water & an old toothbrush to get the last bits of paint out.
Occasionally, some paints don't want to come off. Repeat. If that doesn't move the paint, it'll "denature" it. It's then amazing what you can do with a cheap $20 imitation Dremel with the brass brush.
W.