For headphones anything wired first and formost will be better than wireless since no batteries to worry about. There are a lot of different sound signatures but the common headphones recommended are the Senheiser HD 600, 6XX, 650, 660s. Other notable mentions are Beyerdynamic DT series headphones which are used in studios. Avoid HifiMan

Both lines are time tested being around for more than 20 years and new pads and parts are available from various sources. Note that pads can dramatically change the sound so you would have to search for reviews to be sure or just buy the exact same ones.

If you need to make them wireless you can use something like a FIIO BTR5 or Quedelix 5K which are wireless headphone amps that pair to your pc or phone through bluetooth.