Innovative Search Engines

There have been a lot of new search engines entering the fray lately,
and I haven't honestly been able to keep track of them all.  I'm
looking for innovative search engines-- anything that brings new stuff
to the table.  Google brings new stuff to the table all the time, but
I'd love to see an honest competitor, especially with respect to the
accuracy/relevance of the web search.  So, anyone have any tips?