Edge (Legacy) was a decent browser, but keeping up even with still missing Web APIs proved too expensive (alongside fixing bugs). Safari may be in the same pickle these days with apparently a sizeable backlog of missing features and incompatible implementations. Granted, that may also be due to many developers assuming Chrome to be a reference implementation.
If a new player comes along I'd guess it will be based on Blink, but they would probably need more resources than Google can throw at Chrome. And a way to finance them ... there's probably too few people willing to pay for a browser these days.