BuyFromEU

While I understand the note on Kagi requiring an account making it less private in theory, in practice you can pay using OpenNode and use an anonymous email to sign up which makes it impossible to really tie anything to the real person you are at that point (and functionally like other engines that may use backend fingerprinting to help personalize your results, just in the open).

Kagi provides a bit more detail in their FAQs: https://help.kagi.com/kagi/faq/faq.html#why-trust

That said it's still an American company, so that may be the deal breaker for some which is fair.