If you don't like the cluttered Google homepage and just want a minimalistic homepage with a search box, this page might be for you. You'll also notice that this page doesn't have any links. It was created for the IE explorer bar.
For trimmed-down search results pages, try another page created for Internet Explorer. This time, you'll see only page titles and the snippets if you hover over the search results.
You can also add a gadget to your personalized homepage that will let you search Google (web, local, video, blogs) and see the results inside the gadget.