How many NFL teams are named after cats?

The correct answer is based on the number of NFL teams that have feline-themed names. The teams that fit this description are the Carolina Panthers, Cincinnati Bengals, and Detroit Lions. Each of these teams incorporates a cat in their name—"Panthers" and "Bengals" refer explicitly to big cats, while "Lions" refers to another species of large cat.

In this case, the term "cats" broadly includes any members of the feline family. The specific number of teams allows for a clear identification that there are three teams with direct references. Therefore, the answer expressing that there are four teams is not accurate given the current naming conventions and teams in the league.

Thus, the count of feline-themed NFL teams is three, confirming the correct answer accurately corresponds with the common knowledge about the league's team names as of the latest data available up to October 2023.