This would be like Google's "I'm feeling lucky" button, but it would be a button which contained a slew of descriptors to choose from (Including "crazy", btw). Each descriptor would modify the search in some way.
For example, "lucky" takes you to the most relevant site regarding your search. "crazy"
would take you to the least.
In efforts to eliminate a list, I will only show a few examples and leave it to your imaginations how any additional buttons might pan out.
intuitive -- displays a collage of website pages laying on a virtual table that you can mouse through. Very intuitive feel.
intrigued -- displays most relevant websites in random succession, eliminating control over the flow of data. Keep chasing that carrot, Mr. Intrigue.
enlightened -- displays relevant websites with fewest words per page, advertising, pictures, etc. Don't feed the meditators. I mean distract the bears. err..
habitual -- displays 10 most popular and most relevant websites in a numbered list. This is also the default search.
mysterious -- The most popular words and phrases from the most relevant websites are arranged in a chain letterish script and sentence structure, grammar, and context are included in AI programming to compile a document and have it sent to your email as a pdf six months from now.
indoctrinated -- all website results come from site servers outside the country in which you live.
There might be one or two others...