Investigate Ultrasone’s range I have some 750pros and for the types of music I listen to (mainly edm, rock and some weird outliers) they are amazing - the bass response from them is fantastic so if you like a bit of dub they are perfect. If however you listen to opera or female vocal they aren’t really comfortable.
If I were you, especially with phone use I’d be looking at some of sure’s range of in ears. They are designed to work with portable devices and have far better isolation than even the best closed back over the ears unless you want to start mucking about with noise cancelling - which you don’t.
I got some Phonon SMB-02 off Jack @Ciderpig but I’m not sure if he is still selling them, having lugholes like Prince Charles they fit fine and sound much better than the Sennheiser Momentums they replaced.
Not the most glamorous looking but they do sound great
A long time ago I had a very nice pair of Beyers like @ICHM recommends above, but they were open, and I got a lot of negative feedback from colleagues about noise leakage. I’ve stuck with closed back ever since.
The Momentums are better than anything I’ve had in a long time, but how they compare with the long lost Beyers, or other open back headphones, I couldn’t tell you.
The general rule of thumb I heard was that for the same quality sound, you pay twice as much for closed back as for open back headphones. Not got the personal experience to comment on the merits of that sentiment though, and I suspect it was from before good quality in-ears became available.