It sounds like you'd be happy with a premium service (like Uber originally was). You pay more than a taxi but you get all the other benefits you list. Problem solved.
Taxi´s companies have existed for a while. Compared to Uber the differences are: customer support is shitty, good luck getting a refund, you need to know the phone numbers or have the apps installed of all of the cities in the world. It is more complicated. Uber is uber internationally. It is only one app, only one (relatively good) support. By the way, I don´t "love" Uber, is just that I see the value on it.
