There are a lot of specific requirements for the simulator to be able to demonstrate. This first link below has a table that more simply shows you the comparison between the different types of sims approved by the FAA. I would guess other agencies have similar pamphlets available.
http://www.airweb.faa.gov/Regulatory_and_Guidance_Library/rgAdvisoryCircular.nsf/0/5b7322950dd10f6b862569ba006f60aa/$FILE/Appx1.pdf
http://www.airweb.faa.gov/Regulatory_and_Guidance_Library/rgAdvisoryCircular.nsf/0/5b7322950dd10f6b862569ba006f60aa/$FILE/Signature.pdf