My problems were very varied, depending on the specific model. Trying not to make it a full rant. While I have many types of music on my player, primarily I listen to rock/metal.

Common problem: ANC changes the music too. It messes with the mids and highs, regardless of the model. Some are better than the others... but of course ANC can be turned off, which I did frequently in the past years. Oh, and the low battery warning: "ATTENTION - battery will be empty in 4 hours, let me disrupt your music every 60-120 seconds till the end of time!".

Bose QC35, QC45: They are pretty much the same, both inside and outside. Very comfortable, can't argue with that. They randomly they cut off the first/last 2 seconds of the tracks (how did they even release them like that is a mystery for me). Also, no bass, no highs, just a pile of mids. Almost 0 dynamics - you will never hear any other instruments else during a bass-guitar heavy track...

Sennheiser PCX-550 ii: It sometimes sounded fairly decent, even with ANC, however rather uncomfortable. The touch interface is catastrophic (in humid weather all the controls activate at the same time. Literally: volume up-down, play-forward-pause-call, all at the once). It had the worst bug I saw so far: about once every 2 weeks it made some extra loud shrilling noise that made me shit my pants (I'd guess the ANC got into some self-amplifying feedback loop). After it came back from "warranty-repair", it did it again within 3 days.

Marshall Monitor II ANC: mushy pile of mids, sounds actually bad, especially for its price. I really thought that it was made for rock music, but no. It is mostly made for audible books. Controls look cool (5-way joystick), but hard to use in practice: if the button press is even half a degree off, it doesn't register. Especially unusable while walking. Used two different sets of this model (after a warranty exchange). Earpads break after 6 months (for both sets). The second set it literally a pain to wear: it makes the top of my head hurt after 20 minutes.

Sony 1000XM2: Very bad touch interface, it feels like the gestures are randomly changing function. Keep disconnecting and stuttering. Sometimes after 20 minutes, sometimes after 2 hours. The only guaranteed thing is that one of them happens sooner or later. If I apply a ton of EQ on each track one by one as they are played, it is possible to get decent sound of it. But usually I just want to listen to music, without messing with EQ every few minutes.

Airpods pro: Keeps disconnecting. ANC keeps turning on and off, living its own life. Sometimes only one side has sound. But it doesn't sound bad, when it works. It doesn't happen very often though. Too bad Apple ran out of SW developers.

I have only one BT headset that I keep using still, though exclusively for workouts: Sony MDR-ZX770: I got it like 8 years ago. It sounds crap, but very robust and reliable at what it does. If you want a bad sounding cheap headset, I recommend this one lol.

I had some random headsets from Amazon also, Chinese garden variety, but I won't even say anything about them.

But in a nutshell, that's why I have had enough. Now I'm just back to oldschool headsets, and hear every instrument without bugs.