[2023] Subs are in a fine state

There are other examples, but the first mega-success-story of asymetrical design that I can think of was Starcraft. Each of the three races is decidely different in concept and play.

Command and Conquer: Tiberian Dawn and Warcraft 2 had non-similarities as well. C&C had two directly different forces and Warcraft 2 had variety in castable spells, though neither of them grew to be the titan that Starcraft became on its own.

At a basic level, a game with a Knight and a Bowman are asymetric assuming the two different classes can face off against each other. They are not mirrored and possess different playstyles with unique paths to winning.

If you'd like to watch a video which discusses the concept, you can check this out:

The video decides to make two labels of "Weak" and "Strong" asymmetry. Starcraft is in the first category in the video above.