I believe most dog sports (as in, serious competition) are regulated by the SKG through TKAMO, (Technical Commission on Agility, Mobility and Obedience - which includes rally obedience and flyball) and by the TKGS (Techincal Commission for Gebrauchs- und Sporthundwesen):
http://www.tkamo.ch/ http://www.hundeweb.org/hundewebd/tkgs/index.html
You might want to start by looking at dog clubs (Kynologische Verein) near you (See the SKG website
http://www.hundeweb.org for a start) - many offer courses or training sessions.
Also check out the training clubs or Hundschule listed on the SKG website or on Certodog (
http://www.certodog.ch) Many training schools also offer agility or other dog sport classes, or are affiliated with a club. For instance, at our training school (
http://www.kurse-fuer-hunde.ch ) we do team training (HTM, without the M

) in addition to regular classes. I also do tracking training as part of a class for my deaf oldie.
For Agility, here's a random selection off the top of my head:
http://www.agility-ch.ch/ http://www.agility.ch/default.htm http://www.skg-zuerich.org/agility/indexag.html
In Winterthur:
http://www.kgwinterthur.ch/html/agility.html
A well known group in SZ, not too far from ZH (serious training):
http://www.i-d-s.ch/Agility.159.0.html
In Einseideln:
http://www.hundeclub.org/07_agility_training.htm
In Lachen:
http://www.hundesportverein.ch/web/home.asp
A group in AG:
http://www.ulanova.ch/connyulanova/connyagility.htm
And in Stetten:
http://www.bbkaderli.ch/
There are lots of training groups - if you let me know where in ZH, I can direct you better. Or, just google things like Kynologischevereine, Agility, Hundesport, etc.
We train here:
http://www.at-wollerau.ch/
Now, the Hooligan and I just train for fun, we don't compete - first, because we are not eligible to compete as I understand it. (My rescue dog is not FCI*.) Secondly, we don't compete because we are really,
really bad.


But we have fun, which is the point.
*By the way, if your dog is not FCI, I think you can compete with if you already have an FCI dog registered... but please check that out for yourself. I recall hearing that, but never paid much attention because I know I'll never want to compete.
---
And speaking of being really bad at Agility:
Anyone familiar with the Control Unleashed program?
(This is a program developed by Leslie McDevitt to work with reactive dogs who get stressed or have trouble focusing in a typical Agility environment. It uses relaxation and de-stressing techniques, exercises and games to help the dog establish self control despite an exciting atmosphere.)
The Hooligan and I, having thoroughly disgraced ourselves last month

, have taken a step back and are working through the CU book - but I think a class or seminar with a CU professional would help us enormously. I can't find anything here in CH, though. If anyone knows of a CU group here, I'd be grateful for any tips.
(Sorry for the hijack... )
Good luck in your quest - here in Switzerland it seems there is a club for everything. As I stumble across more info, I'll post further.
ETA:
For all things clicker, here is a good place to start:
http://www.clicker.ch
They are a bit far from you, but I'm sure someone there can point you in to a more local option.
And, here's a good Flyball site:
http://www.flyball.ch