I like DuckDuckGo. But unless they build their own search - I think the fundamental problem has not been tackled. There is no good, independent, private search alternative.
[Edit] I am not trying to single out DDG. There are a few replies that either demand for proof (rightfully) or suggest Bing is used only sometimes. I do not have conclusive proof, but have worked on search. Here's a couple of things for the curious:
1. Try to run this test: If you query "what is my ip" in duckduckgo (DDG), or any of the other ones I mentioned, you will notice in the description of one of the top results this IP: 207.46.13.147. It's a BingBot IP [0]. It's a good enough test to spot where results are coming from.
2. Open two browser windows side by side with DDG and Bing. Turn on results for the country you are in in DDG. Look attentively. Try image search.
It is clear that DDG does some re-ranking based on its own, but it's very often the same results.