Budapest banned Uber due to pressure from taxi drivers union which ended up implementing an app and matching services. It took a while to mature, but the quality of the service definitely beats that of Uber now.

Alas, public transit is already really good in Budapest, so mostly only people that were using Taxis before Uber existed are using the services now. Except that you are less likely to get scammed on fares and be the victim of CC fraud due to the streamlined app process.