This list makes a great list of attempts at general purpose search engines (I would include DDG and Bing) which ultimately fail and are not what the masses want.
There's also precedence for how only domain-specific search engines are valuable / make sense these days: Google itself is shifting to ML-based answers (attempting to build the holy-grail of general-purpose search engines), and whatever you do isn't going to beat Google at that - even Google hasn't been successful at it yet.
Examples of real-world domain-specific search engines today:
* Image, YouTube, Maps search
* Amazon search
* Code search (Sourcegraph, cs.github.com, cs.opensource.google, etc.)
* Facebook, Twitter, Reddit, TikTok, LinkedIn search
* Documents search (iCloud, Drive, etc.)
* Messenger search (Discord, Slack, Messenger, etc.)
It's really telling how Google has largely only achieved general-purpose search in their domains of data (a Google search turns up YouTube videos, Maps locations) but isn't even complete in that area (Drive, images, etc. don't show up in Google results)
General-purpose search is simply non-viable these days due to (a) data silos and (b) you need to have domain specific search to provide an edge (e.g. regex for code search, or drag-n-drop an image for image similarity search)