Well, there are several to choose from, however for me, one of the most amusing elements is our first introduction to the "shrew" of the title, and how she estabilishes her shrew-like status with an excellent berating of Hortensio and Gremio after they are told that none may wed the meek and mild Bianca until Katharina be married. Note what Katharina says to Hortensio, for example:
But if it were, doubt not her care should be
To comb your noddle with a three-legged stool,
And paint your face, and use you like a fool.
This clearly sets the stage for the amusing antics that will happen as Lucentio is desperate to find someone who can marry this "demon" and "harpy," as she is described respectively by other men. Katharina's ability to insult and play the shrew gives us a real laugh as she berates the various men that surround her and gives us a real sense of anticipation as we wait and see what Petruchio will do with her.