These are the two correct ways to say this.1. I don't speak English as well as you. 2. I am not as good as you are with speaking English. While many people say number 1 using "good" well is the grammatically correct word.

I guess it would be more appropriate to use good. since "as---well" could also mean "including". You know, just to avoid confusion.

I don’t speak English as well as you it’s well, even if there are so many ways to say it.

There is only one correct answer here: well. You need an adverb here, not an adjective (like "good"). For some reason most Americans get this wrong.

Both are fine in daily speech but if you want to be more "proper" then, "well" is the better word to use. However it is incorrect to say, "My level of English is not as well as yours". In this case you must use "good".