Do you have criticism of The Importance of being Earnest?

Yes. There are many levels of criticism in The Importance of being Earnest. First of all, Wilde criticizes the society of the time that valued trivial things (such as having a proper name, and holding oneself with utmost respect), as well as gender relations and expectations. For example, Gwendolen doesn't accept Jack's proposal unless his name is Earnest, he can produce parents, and he is down on one knee when doing so. Wilde makes fun of the society in which the characters live, showing his audience how silly the values held at the time were.