You can register .ro domains and every Romanian extension (.com.ro, .info.ro, .org.ro, .store.ro and more), plus international ones such as .com, .net, .org, .e...
For international extensions, what appears publicly in WHOIS depends on the extension and the registry's rules; many registries now show only limited data.
For .ro domains, RoTLD does not publish the details of owners who are private persons.