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Read the poem smart by Shel Silverstine also Inchcape Rock by Robert Southey is a very good example. you should be able to find both of them if you google it.
I'd say almost anything by Jon Stewart employs verbal irony. Whenever he says anything in which his ostensible meaning differs from the actual meaning, that's irony. In his hands, irony is a tool for both criticism and laughter. http://www.thedailyshow.com/ You might also try Oscar Wilde's play _The Importance of Being Earnest_, though that may not seem as immediately funny to you. You have to become involved with the characters and the plot, and the humor is more arch.