For .ie domains no such service exists, however the details are not as verbose and will only list your name or that of your company / business. The email address is not listed in the IE whois.
For co.uk domains the situation is slightly different. If you are a non-trading individual you may "opt out" of whois.
If you register a .eu domain and do not specify an "organisation" then the details in whois will be minimal.
If you register a .tel domain as a private individual your details will not be displayed in WHOIS
As of July 2012 we offer whois privacy as an additional service for .com and .net domain names. Please see here for more information on how to enable this: