I never do.

I like to stick to a written narrative description. That way readers can hold their own organic interpretation of my own character based on what I have written and there can be a little more individuality.

That said, I can draw myself so if I really want to I can and may draw them. Just not during or for the application process. It may be a year down the road I'll work up the effort to draw a character, provided the RP even lasts that long. That said though, the only characters I have drawn only exist in one RP since that's the RP that's lasted long enough for me to simply bother.