Manhattan is tiny and taxis represent an outsize amount of traffic since they don’t park most of the day like a commuter car. Uber’s proliferation was associated with a general decline in traffic speeds.
If we're talking about concrete things like throughput, the MTA is one of only a few systems with round-the-clock operation, and I don't think anywhere else matches its scale and reach.
The filth of the stations are a legitimate complaint...but given that my primary interest is my transit system moving me from place to place, I'd take it over the majority of EU systems in a heartbeat.
This is fairly rare, particularly on weekends or nights.
The city does a good job, especially by US standards, of making public transit a reliable, affordable way for people to go to and from work. But as far as getting around in day to day life outside of rush hour it is much worse and there's still a big need for Taxis or Uber. And I think with the increase in remote work recently this is more of an issue now than ever.
I do have to say I'm impressed by the Apple pay/NFC payment rollout though. No more flimsy Metrocards to worry about swiping and refilling is a nice improvement.