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.