That statement is false if you're using Merriam-Webster's definition of "lie" ("to make an untrue statement with intent to deceive"). I wrote that with intent to amuse and not with intent to deceive.
That's the definition of lie as a verb. I used lie as a noun. I hope you didn't think I was accusing you of lying. All I meant was that the statement was technically a lie, so the humor fell a little flat.
Yes, the interesting number paradox is particularly weak. But even it has an argument that seems puzzling initially, and has a much stronger version (called the Berry paradox, that has deep connections to Godel's incompleteness theorems).
The statement "My favorite paradox is the one I like least" has nothing paradoxical about it. It can easily be deduced to be false. Its just a contradiction, like saying "This sentence is true and false". Compare that to "This sentence is false" which is a paradox.