What are the requirements for the ORM courses (Basic thru Advanced).  Are they required for certain ratings/specialties?

I cannot find it in CAPR 62-1, other than  safety officers and commanders.

The Basic, Intermediate and Advanced Risk Management courses posted online in the ‘Online Education’ segment of the Safety Information and Reporting System (SIRS) are academic requirements for some Technician, Senior and Master Ratings, for example the Safety Officer Specialty Track and the Command Specialty Training Track. These are described in the pamphlets for those specialty tracks. 

Other than for the Specialty Tracks these courses are useful to take but not mandatory.