Some were listed by local news as the leading rideshare companies.
That seems sufficient to me. It's hard to name any company started in the last few years that is a major market player when then have a bunch of competitors. New businesses take time to grow.
The discussion here is about whether Uber has a moat. The point being made is that it's pretty easy to start a rideshare company. Which it is. That one hasn't become major yet isn't proof that one can't become so. As long as there's room for new companies to start and be sustainable at modest scale, then Uber can't extract monopoly rents.
Sorry, I'm not interested in playing "bring me a rock" with you. You can do your own research. If you discover something important, let me know. But until then, I stand by my opinion that the rideshare market has low barriers to entry.