The only two (actually standards) that I keep up with are
ISO 10007 and EIA-649B.
Additionally, the British have a some CM standards. These appear to me to address specific environments, such as the one for the Ministry of Defense (numbered 5000, I think).
There are several other documents touted as standards. Some of them are business models or management models. They require compliance with sets of CM practices for model certification. Some of these are CMMI, ITIL, TOGOF. Careful comparison of these to the ISO or EIA will usually reveal that the models pretty much require a higher minimum level of documentation. It is probably bad to generalize but by and large the ISO and EIA are more focused on what needs to be done "to an appropriate level of application," whereas the models are more focused proving (documenting) that the stated needs are being fulfilled for model-compliance and certification.