Most implausible premises for TV shows

The First Lady with no government or foreign policy experience becoming the U.S. Ambassador to the UN.

Sabrina the Teenage Witch. Her aunts or whatever would have been killed centuries ago. Plus, Salem the cat has some kind of non-denominational accent. If he was truly from Massachusettes, he would use the word "wicked" more, especially after living with people involved in the "dark arts"

Get into a car accident, guy at fault doesn't have insurance so the judge sentences him to be a butler.

There is a young girl who is a warm, funny and bright child. Her father walked out on her family, then her mother abandoned her at a Chicago shopping center, leaving her alone with her dog. Afterwards, she discovered a vacant apartment in a local building.

The building is managed by photographer who is an elderly widower who is something of a grouch. The girl quickly became friends with a young girl who lived upstairs in the old man's building with her grandmother, who worked as an RN at the local Cook County Hospital. The old building owner discovers the newly-orphaned girl and her dog in the empty apartment across from his.

The relationship between the two blossoms, despite red tape from social workers. Later on, The old man legally adopts her.

A show about a group of New York friends with no plot whatsoever

Underachieving schlub impregnates serial killer. Woman gets the chair. Schlub raises the kid. Antics ensue.

An inept charter captain, his moronic deckhand, a "Professor" and even a hot chick from Kansas would never be missed. A millionaire industrialist and his wife ought to garner a fair amount attention, but maybe not. However, not a one of us can believe that Hollywood wouldn't have moved heaven and earth to find Ginger Grant.

Suits has a terrible premise

Mistaken identity going a long way.

Such as: Pulling off being a long-lost family member.