What CS85 already said. I would call it a "domain search engine".
At the moment, potential domain buyers have two main approaches to finding a suitable domain name. Either think up a name themselves, then look around to see whether it's available for sale; or wade through vast lists of available domain names in the hope that one will spring out at them through all the dross. (And there's brokering, but that's human-in-the-loop, and too expensive below the top end of the market.)
There is very little between these two extremes. Some platforms enable sellers to add descriptions of their domains, but to my knowledge not with any serious way of searching the descriptions. Others allow searches to be narrowed by category (e.g. sport, medicine), but that's still only very general.
What would really shake up domain trading would be to link the descriptions that sellers can already add themselves on some platforms to a powerful search engine employing AI. Possibly even interactive: the potential buyer would enter keywords describing the business (nail studio chicago) or intended use of the domain, but could also add other characteristics (e.g. "trendy", "highbrow", "radical", "high recognition", "risqué", etc.). The search engine could spit out possible additions to the list of keywords that the searcher could either accept or reject, thereby iteratively refining the search. When the searcher got the feeling that the list was heading in the right direction, he could then prompt for a list of domain name suggestions. He could trawl through those, or if he felt they were on the wrong track, he could go back and refine the search further. Just like people do with Google. And just as Google does, the search engine would rank domains based on searchers' behaviour.
Why am I writing this? If it's such a good idea, why don't I do it myself? (That's my own usual reaction to other people's "great ideas".)
1. Because I'm too old.
2. Because life experience has taught me that if I think something's a great idea, the rest of the world won't, or if they do, not until long after I'm dead. If everyone thought the way I do, most of the world would now be using Linux, Ulster would be an independent state, we would excavate great pits and irrigation channels in the Sahara and fill them with all the melting ice that is threatening to raise sea levels, and Germans would be using the generic neuter (don't ask). Ain't gonna happen. (Swetha, prove me wrong and buy ex-why-zee.com. Then the next generation of domainers will mention my name in hushed tones: the guy who sold Swetha a .com.)
3. Because I think it will happen, but differently: the pace at which AI and SEO are developing will encourage domainers to develop their domains so that potential users will find them – through Google. And I'm already doing that (or trying).
4. CS85 already said it, just in fewer words.