• “Methodology” when “method” would suffice. (If you’re actually studying the methods that people or disciplines use, then you’re allowed to use “methodology.”)
• “Functionality” when “function” or “feature” is what you mean.

Correct English style: “I would advise you to x.”

Incorrect English style: “I would suggest you to x.”

Likewise:

Correct English style: “I would suggest you x.”

Incorrect English style: “I would advise you x.”

Maybe this goes in the same bucket with the realization that “it’s,” as a contraction for “it is”, is not admissible everywhere. E.g., here:

Me: “Is it 6:14pm?”

You: “Yes, it’s.”

Does not work.

Is there some good general reason why these are true? Or are they just one-off stylistic rules that native speakers have to learn one-by-one?