We are spoilt these days - there are lots of options. You can get that level of resolution from $20 in ear monitors. But, if you’re after that level it’s not just the headphones - it’s the whole chain (assuming you’re listening to digital):
you need a decent DAC - again, it does not need to be expensive - a $10 Apple USB-C to 3.5mm adaptor will do it (but the built-in one in your laptop, or older phone, may not).
you need decent, or preferably no, compression. Turn up the bit-rate in whatever streaming app you’re using or preferably use CD or uncompressed (FLAC).
perhaps most importantly, and most overlooked, you need good source material. Lots of music out there has been horribly recorded and/or mastered. With low quantity reproduction this isn’t an issue, but once you’ve taken care of the rest and you’re spending time really listening to your music you will find yourself from time to time thinking “this sounds horrible”, and you know you’ve done everything at your end and it turns out you’re listening to a bad master. There are forums dedicated to discussion about the relative merits of various versions of different recordings.
It’s a huge rabbit hole, which stereotypicaly is very expensive - but doesn’t need to be.
I’ve only scratched the surface, but with my old, damaged, ears there’s no point digging further.
Album schmalbum. Which headphones are this good?
We are spoilt these days - there are lots of options. You can get that level of resolution from $20 in ear monitors. But, if you’re after that level it’s not just the headphones - it’s the whole chain (assuming you’re listening to digital):
It’s a huge rabbit hole, which stereotypicaly is very expensive - but doesn’t need to be.
I’ve only scratched the surface, but with my old, damaged, ears there’s no point digging further.