I briefly compare Mojeek to Brave here: https://discuss.privacyguides.net/t/add-mojeek/12101/2
Pros for Brave Search:
- (Kind of) uses its own index for general results! Their indexing strategy is somewhat odd, but this is miles better than most of the other "search engines" listed here: https://www.searchenginemap.com
- Optionally premium. Users can pay to remove ads, improving the user experience. A monetization strategy that aligns with searcher's interests.
Cons for Brave Search:
- Image search is heavily based on Bing, as far as I know. You'll have to correct me on this one.
- Javascript required for certain primary parts of the SERP (Search Engine Result Page), like Image and Video results.
- Adding onto that, their SERPs are a lot heavier than Kagi and Mojeek, but nowhere near as bad as Duckduckgo.
Mojeek aligns far more with what I want out of a search engine. They are completely independent; they don't even use the servers of big companies like AWS or Google Cloud! They use a local datacenter instead. I think it's cool that their image search is specially designed for finding freely usable images (Creative Commons/Public Domain licensed), rather than relying on Bing Images. They also have a focus on the "smaller web" and independent creators—see their most recent blog post, for example: https://blog.mojeek.com/2023/06/search-content-from-substacks-independent-writers.html
Their staff are clearly very passionate about what they do and very knowledgeable. I trust them a lot, through personal conversations I've had with them. I just don't have that same trust for Brave Search, as well as my usability problems with it.
Lastly, I've learned a lot of interesting stuff from Mojeek about search. Their blog is very interesting, even if you don't use their search engine. I really liked this one, for example: https://blog.mojeek.com/2023/05/generative-ai-threatens-diversity-and-hyperlinks.html