There are many approaches to hypnosis. Described here are only the most common ones, omitting their history and development, and focusing more on facts which is what do you do with it. The reason why I am omitting their history is that it is not a key element towards understanding how each of those forms looks like.
Most likely, if I find good video examples of those forms I will also add them to this page. If you know of such examples or have such examples, please let me know, and I’ll add them here.
Direct Hypnosis (Elman-style)
It relies on a very simple rule: the hypnotist gives suggestions, the hypnotee (hypnotic subject) realizes it, and in effect put themselves into hypnotic trance, further realizing the suggestions which they came to get. There is not a lot of metaphor in this, the suggestions are simple, without a second layer of meaning.
In short, the hypnotist gives the suggestions in such a way as he would give them to a five year old child: simply. The perfect example love this style or form is the Dave Elman induction.
Conversational Hypnosis (Covert, Ericksonian)
The main idea is the active bypassing of the critical factor on the other person, which is characterized by the suggestions been given in the form of metaphor, complex sentences designed in such a way which causes confusion in the mind of the other person, as well as other linguistic elements use natural result in the acceptance of suggestions by the hypnotee.
An example of such a form can be a question of this structure: Who are you, not, as you would like to be, inside, your wildest dreams, but even better?
You can certainly imagine how this would sound using longer pulses in the place of those commas.
Energy Hypnosis (Mesmerism, Magnetism)
The assumption here is that the hypnotist directly influences the hypnotee by means of “energy”, “animal magnetism” and so on.
It is the only form of hypnosis to that I am aware of, whose proponents claim that there are persons who are not susceptible to hypnosis. The most commonly cited statistic is that 20% of people are not at all susceptible, 60% can achieve a medium depth trance, and only the remaining 20% are able to achieve deep hypnotic trance (somnambulism).
It is quite unusual, given that for a few decades now it is common knowledge among hypnotists that anyone can achieve somnambulism (which is deep trance) if certain requirements are fulfilled.
My personal explanation for this behavior is that in this way they are upholding their tradition and protecting it from dying out.