In an update to his analysis of taxi and ride-share trips, Todd Schnieder reports that the number of daily Uber rides exceeds the number of taxi rides in New York City, as of November 2017.
The data is provided by the New York Taxi and Limousine Commission, and the analysis and graphics were created using the open-source R language. (The code and data for the analysis are available on Github.) You can find a wealth of detailed analysis of rides in New York, including some gorgeous maps of pick-up and drop-off locations, at the link below.
Todd W. Schneider: Analyzing 1.1 Billion NYC Taxi and Uber Trips, with a Vengeance