Kagi is akin to using Google in incognito mode though... They use Google's index for the most part and that's why you get the exact same results.
If you want to not use Google, your choices are effectively Bing (and others which use its indices such as DuckDuckGo, Ecosia etc.), Baidu, Yahoo, Yandex or Qwant.
How about Brave Search? It has its own index, and the results are definitely better than Bing and Bing-based search engines. I still find Google's results to be better, but it's the best privacy-friendly search engine right now.