I just don't get how Uber is really anything special. Maybe I'm just not using it enough to care, but I can say that I've used both in various cities and they're shades of each other.
It's pretty city dependent. I've had lots of random issues with taxis - my favorite practice are the various sanctioned non-compete agreements taxis have with each other. "Oh you want to go to that address? Thats 2x fare as we aren't allowed to pick people up in that neighborhood"
Then the 'broken' meters or the 'card reader not working' claim that magically works when you say you don't have cash or a debit card (after they get pissed off at you. One guy yelled at me "Why you not carry cash?! You knew you get cab ride!"). I can see shades of eachother as they serve the same purpose but you're much less likely to get ripped off with one over the other
