Earlier quoted context omitted.
I’m very much interested in this underground system (I don’t know if it is actually implemented): https://www.core77.com/posts/102208/Amsterdams-Smart-System-... It seems to me this sort of trash deposit system would greatly simplify trash collection.
Roosevelt Island (which is a part of the Manhattan borough) actually has an underground, pneumatic trash collection system: https://untappedcities.com/2020/04/09/inside-roosevelt-islan... . I think it would be hard to retrofit such a thing onto the already-built-up parts of the city though.
It would be prohibitively expensive, because there's no master record of which pipes/wires/cables/etc. exist in any given location. It's very expensive to dig in Manhattan[0], because you basically have to dig carefully and see what's actually there, rather than having some knowledge of "the gas pipes are in this spot, so we can dig around them". So much of the infrastructure was installed before detailed record-keeping was standard practice.
As far as trash collection in NYC, the main thing that needs to happen is containerized trash collection. Right now, trash bags are just left on the sidewalks 3-5 times per week for 12 or more hours at a time, creating an absolute buffet for rodents.
[0] This actually applies to most of the city, but Manhattan is a combination of the oldest-built and most-densly-built infrastructure, so it's particularly expensive there.