1. As an Emacs-lite on some server I have access to, but don't want to install full Emacs on for some reasons. Currently I use Zile for that. And yes, I know about TRAMP but I have reasons not to use it.
2. As a toy editor for my 7yo son to learn/practice typing on a computer/basic text editing. Currently I just fire up Emacs for him (what else?;-)), but it's easy for him to accidentally press something with unexpected results (and then daddy has to C-/ and/or C-h l). Here, I could probably make a whitelist of possible operations.