Verbs Without A First-Person Singular Conjugation

[giantantattack.livejournal.com]

So, certain verbs, such as чудить, победить, and бдеть, don't have an accepted conjugation in the first-person singular. Aside from all the questions that come up regarding why this happens, I was wondering: If someone were to say "я чудю/чужу", "я победю/побежу", or "я бжу/бдю" in the appropriate context, would they be understood? And, are these verbs ever used in a first-person singular conjugation for effect in writing or speech? If so, how?

EDIT: Is there a definitive list of verbs that behave like this?