Why register your name under a company related extension?
Are you an incorporated (.inc) or limited (.ltd, .limited, .gmbh, .sarl, .llc) company? Do you wish to show you're a corporation (.corp) or a foundation (.foundation). Does your company name already contains the word company (.company, .公司) or do you wish to set up a company (.enterprises)? Well then those extensions are the ideal way to communicate this to everyone.
Can you give people extra information about how their business can become an incorporated business? Do you know which rules apply for a limited company? What do corporations or foundations need to keep in mind? Are you aware of this and do you wish to share this knowledge? Those extensions offer you a great opportunity to do so.