There are a few on here that do use them.
My personal opinion having spent awhile recently playing with building a lot of different amp designs is that the go to opamps that are used in most solid state setups like the OPA2132/4 and NE55xx series combined with often cheapest possible capacitors, etc. really don't do solid state justice and hence even a half decent tube amp will sound far more lifelike - with a little more expensive capacitors and better opamps I've got far more improved results than your average consumer audio or even a lot of higher end stuff that is far more competitive against a good tube amp.
EDIT: Not sure what headphones you use either but another aspect I find is that solidstate headphone amplifiers tend to focus on amperage in high power designs while tubeamps often by their nature work with a lot of voltage - and I've found headphones like the HD600 series are really transformed when they are driven with decent voltage swing, etc.