NOTE: This list will be updated and added to in the future.
Do not use a baby for a character, EVER!
Let's get something straight here: Babies are not cute, they are annoying. If a more obnoxious sound than a baby crying exists on this planet, I haven't found it yet.
Babies are not a suitable replacement for a well-written character. I do not automatically sympathize with babies just because they are babies. Babies walking along the ledge of a building or a construction site or other such high and precarious location does not make me feel suspense. Babies in danger of being kidnapped by monsters or witches or ghosts or other evil beings does not put me on the edge of my seat. Babies smiling and laughing at things do not make me smile and laugh.
Babies are not funny. Diaper jokes are not funny. Vomiting is not funny. Crying is not funny. Dressing up a baby in clothes that are too big for it is not funny. Bottle jokes where something or someone besides the baby ends up drinking the milk are not funny. Jokes where someone accidentally drinks breast milk from the refrigerator are not funny. Having an adult actor do voiceovers for a baby's thoughts is not funny.
Three Men and a Baby was not a good movie. Making the title of a TV show episode "Three Men and a ____" to indicate that it will have a baby in it is not clever. (Though if you choose to do that, you will have at least saved me the trouble of watching the episode past the title card.)
The one and only known exception to this is Maggie Simpson.
For everyone else, NO MORE BABIES, period!