There is a very good website called www.MimicMethod.com and also they can be found on youtube and facebook. I believe that the man can gelp you to get to the next level that you are looking for.

Apprend a le faire.tu pourra selon pas penser en tous cas.

Is it possible to speak completely like a native? I think, you will always have a slight accent. The grammer constructions and words that you choose will sometimes be different from that a native speaker would do.