Hakia calls itself a "meaning-based (semantic) search engine." They're trying to provide search results based on meaning match, rather than by the popularity of search terms. The company uses something they call "QDEX," which they claim analyzes Web pages better than indexing.
Hakia also has a number of interesting features. For example, for short queries the site displays results in categories, instead of a standard list like you're probably used to. For longer queries, Hakia highlights what it believes to be relevant phrases or sentences. Additionally, Hakia adds some social features to it's search engine.
Hakia is one of the many startups (like [Powerset] (http://www.crunchbase.com/organization/powerset), http://Yebol.com) gunning for a piece of the pie [Google](http://www.crunchbase.com/organization/google) owns.