The main ones I've used are NET, kinesiology, EFT/tapping and holotropic breathwork, and a bit of Erickson hypnotherapy.
I've been aware of NLP and dabbled in it a little about 10 years ago, but ended up finding the abovementioned approaches more effective for my issues.
But they seem to work at the same level; like NLP, NET and kinesiology focus on finding incongruence in the body and mind, and undertaking a learning/healing process to enable transitioning to a state of congruence.
After 6-7 years of this work, I've almost completely overcome chronic fatigue, anxiety (social & general) and depression, as well as several other symptoms I can now recognise in retrospect (possibly a combination of borderline/histrionic/narcissistic PD symptoms).
There is some research indicating the effectiveness of NET [1], but it will have a hard time gaining mainstream acceptance given its origins/professional associations and the specifics of the treatment.
It's also super-hard to do a full-scale trial for these kinds of treatments, as it's very difficult to assemble cohorts of subjects with similar enough symptoms, and the it takes years for really profound changes to happen. So it's hard to imagine who would have the funds and the timeframes required to undertake the kind of study that would be necessary to properly test this stuff - not to mention who would have the incentive, given that there's no drug patent pot of gold at the end.
Yet year by year I keep doing these practices and my life keeps getting better, while I watch on as other people I know keep persisting with conventional psychology and psychiatry, without a whole lot of success beyond the superficial.
I've come to understand enough about what keeps the status quo in place to no longer be frustrated by it. My approach now is to share my experiences with whomever is interested, and trust that those who need/want to know about will take notice give it a try when they're ready.
Enough people have given these techniques a shot and gotten great results that I'm optimistic that more widespread acceptance can happen eventually, somehow.