I am guessing you're working from one of the beginner's guides that I am spotting with a quick web search.
They are lacking in precision and strict correctness, as you are seeing from these examples: your sentences are all valid and in fact quite common, almost idiomatic.
I believe Damkerng's comment, if I am understanding it correctly, has the right explanation for this: that the verbs themselves really do not fall into such neat categories in the first place, and it's only the context that determines what usage is acceptable. It's seeming as though only careless prescriptivists and oversimplified beginner's tutorials even try to make this distinction at all: other languages make a sharp distinction, but English not so much.