Leaving the bar at 2:00am, trying to find a number for a cab company, calling their dispatch and communicate your location, then you hope the taxi actually shows up (you have no idea how long it will take, or if they actually will show up at all), being pressured to pay in cash because their credit card reader is "broken", and not knowing how much the total will be until you arrive...
There's a huge list of reasons why Uber is nice to have, taxis and Uber are not even close.