Hi, I'm a trained massage practitioner from Bern. I try to answer some questions that came up in this thread.
Massage trainings:
There is one title - "Medizinischer Masseur mit eidgenössischem Fachausweis (FA)" - which is regulated by Swiss Federal law, AFAIK. Trainings to get this title are 2 - 4 year full or partial time and very expensive (CHF 30'000.- upwards)
And then there are many schools that offer shorter courses and trainings.
Migros Klubschule (école-club Migros), available all over Switzerland, offers several massage courses and trainings.
Some massage schools are listed at gesund.ch -> Schulen
At "The Center" - European Institute of Esalen Massage in Zürich , the courses are in German, but if there are students who only speak English, they will organize someone who translates. The introduction weekend is 17 hours at CHF 450.-, the ground training is 206 hours at CHF 4'200.-. If you want to get their diploma, you also have to take 1 anatomy weekend (CHF 550.-), plus a couple of professional massages, so that sums up to about CHF 6'000.- for everything.
(I did this training a few years ago and really can recommend it.)
Regulation:
It depends on the canton's laws (Gesundheitsgesetz, Gesundheitsverordnung) what methods are regulated. In the canton of Bern, for instance, there is a list of regulated professions (like physician, dentist, chiropractor, physiotherapist) for which you have to get a licence (Berufsausübungsbewilligung). All other professions (including massage) are not regulated, i.e. you are free to practice.
Organisations:
As a masseur, you don't have to be member of an organisation (association, Berufsverband).
There is the general Schweizerischer Verband für Berufs-Masseure (SVBM) .
Some specific massage methods also have their own organisation.
Membership in an organisation can have benefits (i.e. special offers for insurances), but may also have some constraints associated, i.e. compulsory number of hours of continous education every year, obligation to get an insurance, etc.
Insurance:
It's a good idea to get a liability insurance (Berufs-Haftpflichtversicherung).
All big companies have them, just ask for a quote.
Ask an insurance specialist or fiduciary in order to know what other insurances are advisable in your personal situation.
I hope this helps!
Cheers, Thomas
P.S. No guarantee for correctness or completeness! IANAL (I am not a lawyer)!
If in doubt, ask a lawyer who is familiar with your local health laws!