I'm using this one:
alera elusion with the headrest linked on the amazon page. It's very comfortable and hasn't caused me any issues. It's about the only decent one in the sub $300 price point that I could find through a lot of research. It reclines a bit, arms are adjustable and tilts back. It has decent lumar support and the build quality seems pretty good. The optional headrest isn't too much extra and while it is third party it does bolt right on. I put more hours than I care to admit into gaming on my weekends and have had no issues with my back even though I'm pretty susceptible to back pain due to a lot of mistakes in the gym over the years.
I'll save you a ton of research and just mention that the herman miller aeron chairs are generally the go to, but they're pretty close to $1k. They can be had used for $500 if you look around. They last forever so I wouldn't worry about buying used.
Steer way clear of "gaming" chairs. A race seat bucket is about the least comfortable thing you could possibly sit on and while I generally steer clear of "I'm right and everybody else is wrong" statements I'll make an exception. They're usually cheap Chinese junk with some awful colors and people keep recommending them because they know they blew their money on more bullshit marketed to gamers and they're trying to justify their purchase by lying to themselves and others.