I've stripped a silly ammount of little army men in the last couple months. I've used Simple Green, acetone free nail polish remover, and a couple others before arriving at LA's Totally Awesome All Purpose Cleaner. I like this stuff so much I properly capitalize the name when I'm typing about it.
My current budget conscious method is piling them in a mason jar and filling it up with LA's Totally Awesome. Let sit for a couple days, with the occasional heavy shaking and the paint comes right off. A little bit of scrubbing with an old toothbrush at the end and they're ready to be repainted. There is very little odor with it so unlike simple green you won't be gagging as your scrubbing. I still recomend gloves with ANY product you use. If it can strip the paint of a little army man it can't be that good for your health.
Wait I've got a pic...
That's what it looks like when you first put it in there. After a day the liquid turns dark and there are flecks of paint floating around in it. This was my first attempt with the "shaker jar" but now I leave some more room at the top so they can really move around when I shake it.