In Czechia they simply made an app any Taxi guy can sign up to, Liftago, you input your destination and you get offers from Taxis in the area.
Taxis have more regulation regarding their cars (being well maintained) than Uber drivers so it's safer, and because capitalism you get naturally low prices due to competition.
just a much better system than Uber.
Uber is also banned in a lot of places as they are basically Taxis sidestepping the regulations