I think Mojeek is a better alternative "general" engine than Brave because Brave's ranking algorithm was optimized against Google SERPs (back when it was called Cliqz), making many SERPs too similar to Google's.
Kagi uses a mix of Teclis and other engines (claims to use Bing and Google) but the ability to adjust ranking yourself is its wild card. Neeva is similar, combining its own index with some ability to influence ranking.
But personally, I'm trying to reduce my use of "one engine to rule them all" and instead use specific engines for specific tasks they're good at.