Step 1: Distinguish two different questions: the most common cause of neonatal conjunctivitis versus the most common cause of neonatal blindness. The stem asks about blindness, which shifts the answer toward the more destructive organism.
Step 2: Gonococcal ophthalmia neonatorum is hyperacute and aggressive. Unlike most surface infections, N. gonorrhoeae can invade an intact corneal epithelium, causing rapid keratitis, ulceration, and perforation.
Step 3: This sight-threatening corneal damage is why historic blindness in newborns was driven by gonococcus, prompting prophylaxis (Crede's silver nitrate, now erythromycin ointment) at birth.
Step 4: The other organisms either cause milder disease (Chlamydia, more common but rarely blinding) or are rare pathogens here (Klebsiella, Enterobacter). The blindness-causing answer is Neisseria gonorrhoeae.
\[\boxed{\text{Neisseria gonorrhoeae}}\]