Cognitive behavioral therapy, at least, has repeatedly been shown to be effective. I'll cite a ref from Wikipedia: Cooper, Mick (2008). Essential Research Findings in Counselling and Psychotherapy: The Facts are Friendly. SAGE Publications. ISBN 9781847870421. But I haven't read that reference.

The Rorschach test is still in use, and still being taught to students. There are studies claiming to find statistical significance in its results. They don't propose a mechanism; but they do have statistically-significant repeatable correlations between patient responses and their clinical problems. If you want to claim otherwise, get some of those papers and refute their methodology. Again, I haven't been interested enough to read the primary sources myself; but I've been told about them by someone I respect. The key questions are whether they erred by not doing something like a Bonferroni adjustment for the large number of possible hypotheses; and whether the statistically-significant correlations are clinically significant. You would have to read the papers to find out.