Yes, there are such plays, where the naked actor is old, lumpy,
or disfigured. One example is the the 1970s one act comedy about
an aging actor desperate for a role who strips in the agent
or producer's office: I can't remember the title. It may be
by Anderson-- it's been a long time since I saw/read it. The
current example is "Wit" where the freed soul of the
cancer-ridden 50 year old heroine appears naked at her death.
The problem with plays like these is the same as with sexual
nudity: the nudity takes me out of the play. I do not see the
character. I see the particular individual actor, naked. A body
that is the sum of genetic heritage, the effect of aging and
experience, and (I fear) surgical alterations that have made
that body a more marketable commodity. I rather like seeing
naked people, whatever their shapes and ages. And visual art
can be constructed out of human bodies, using them as texture
and pattern rather than as characters. But on stage nudity just
doesn't work, IMHO. Theatrical art should be metaphoric, an
imaginative creation that the actor has crafted using elements
of his/her persona and artifice such as wigs, costume, and make-up.
Too bad we don't have a convention of "body suits".
I saw a Megan Terry play in the late 60s or early 70s (Vietnam
Rock?) where the leading couple stripped off their clothes to
reveal nakedness -- in the form of body suits with the sexual
characteristics of the opposite gender. Now that was creative!
Metaphoric! (If only I could remember what it meant.)
BYW: in the middle ages the Play of Adam and Eve was part of
the Cycle festivals. The script is very clear: the pair is created
naked, and cover their nakedness with clothes made out of leaves
at the end of the play, after the Fall. So just HOW was this
done? Given that only male Guild members performed in the plays?
Drawings and woodcuts of performances show a naked man and woman.