Tokyo has better public transit than the United States, certainly. However it's public transit options and general design aren't that great by modern standards.

First, they have basically no bicycle infrastructure, and bikes are supposed to go on the sidewalk, so pedestrian cyclist collisions are common.

Second, their many lines are semi privatized and split between many companies. That means inefficient design, upkeep, and construction. What should be a place where two lines interconnect is instead an in-station transfer at best - often instead it's a out-station transfer, where you have to return to street level to get to the station serving that company's line. There's also a annoyance around payment and payment systems for this reason.

Third , they don't run enough trains. Rush hour is insane.

Fourth, they still don't have gates at their platforms, despite their absurdly high suicide rate.

I've just traveled through Brussels, London, and Amsterdam. In my opinion Brussels may have had better per capita transit since their tram system was so ridiculously fast and frequent, and cars had only a narrow area to go, with plenty of room for bicycles, however I didn't see much of the city.

London trains were too expensive and too unreliable. I agree with you in this case, Tokyo is better.

Amsterdam I've only been able to explore a bit but so far I'm very impressed. However for unfathomable reasons they let cars and scooter drive in these tiny roads next to the canals, and even more unfathomably, they give cars tons of the most valuable canal side real estate to park in!! So Tokyo does that better, but Amsterdam so far feels much more liveable.

I haven't seen much else of Europe so can't speak to that!

From a perspective of "packing people in"? Tokyo is absolutely poor.

The MTA doesn't have to employ people to pack extra riders into full subway cars.