I think technically an "end" mill is end cutting and can plunge. Ball end mills, square end mills, bull nose end mills, tapered end mills, etc. Some old farts like Lloyd and Bubba may well recall HSS mills that not only were not end cutting, but were hollow. I have a few on the cart out by the big mill.
Of course what the heck do I know. I'm just a shade tree wannabee hack hobbyist who some how got people to pay me. In the words of Steve Martin, "I get paid for doing this."