Yes, I can see your point, and you have my sympathy! I wouldn't say any of these are outright wrong grammatically, just that some are more natural than others. Also, #5 and #6 are semantically different, because you are not expressing your like of English in them. A guideline is that each of "reason", "why" and "because" introduce an explanation for your liking English, but if you pile them up, then the construction becomes a bit redundant. Consequently, #7 sounds best to my ear, but it's also very common to hear "The reason why ....".
One other point: one minor distinction in your examples is whether you use "that" or not. In this context, it's optional in English, and particularly likely to be omitted when speaking informally.