This has been asked before by someone else, but the answer given didn't solve my query.

Would it be possible to search for a certain term, and recieve a list of all the registered domains including that search term?

For example, if this were possible, I might type in "happy" and recieve a list of domain names that include the search term "happy".

Is this a reality? And would it include all domain extensions if it were possible?

Thanks. :-)

Yes, Go to domaintools.com. They have a partial search feature which let you all matching domains for a part of domain name string. Here is the exact link to the service.

http://domain-search.domaintools.com/

If you are interesting in good domains deleting daily I would recommend another good site

http://www.sitefortune.com

http://www.namedroppers.com/

DomainTools.com is the best site I've found for finding good domain names.