Cave diving
Cave diving training organizations:

CDAA – Cave Divers Association of Australia (http://www.cavedivers.com.au)
CDG – Cave Diving Group (http://www.cavedivinggroup.org.uk/)
GUE – Global Underwater Explorers (http://www.gue.com)
ITDA – International Technical Diving Association (http://www.itdahq.org/)
IANTD – International Association of Nitrox and Technical Divers (http://www.iantd.com)
NACD – National Association for Cave Diving (http://www.safecavediving.com/ )
NSS-CDS – National Speleological Society Cave Diving Section (http://www.nsscds.com/)
PSAI – Professional Scuba Association International (http://www.psai.com/)
UTD – Unified Team Diving (http://www.unifiedteamdiving.com/ )
TDI – Technical Diving International (http://www.tdisdi.com/ )
TSA – Trimix Scuba Association
NAUI Tec- National Association of Underwater Instructors (http://www.naui.org/Technical_divers.aspx)
ANDI – American Nitrox Divers International (http://www.andihq.com)
ISE – Inner Space Explorers (http://www.is-expl.com)
NASE – National Academy of Scuba Educators (http://www.naseworldwide.org/)

 
Technical diving
Technical diving training organizations:

ANDI – American Nitrox Divers International (http://www.andihq.com)
BSAC – British Sub Aqua Club (http://www.bsac.com)
PADI TecRec (DSAT) – Professional Association of Diving Instructors (http://www.padi.com/scuba/padi-courses/technical-courses/default.aspx)
GUE – Global Underwater Explorers (http://www.gue.com)
IANTD – International Association of Nitrox and Technical Divers (http://www.iantd.com)
IART – International Association of Rebreather Trainers (http://www.iart.de)
ITDA – International Technical Diving …