That exists, it's called duck duck go, and even less people care about it than Bing. For the most part, people don't actually care about Google collecting their

That exists, it's called duck duck go, and even less people care about it than Bing. For the most part, people don't actually care about Google collecting their entire search history and combining it with their other data on you. We may live to regret that in a hypothetical future where the government turns more authoritarian and requisitions that data for evil.