Sweet Spot for High-end Headphones

I'm looking for a pair of headphones that will give me the best possible listening experience for music, but only up to the point where spending more doesn't make a significant difference.

I prefer wireless, but if the level of quality I’m looking for isn’t achievable without going wired, that’s fine too—I’m open to both.

I have a $2,000 budget, but I want to avoid diminishing returns—where an increase in price only results in marginal improvements. What’s the general price range for that sweet spot where headphones hit their peak in quality/value? And what models would you recommend in that range? I listen to a lot of Aurora, ABBA, RHCP, SOAD.

Edit: Just ordered the Arya Stealth. No idea how to EQ or what extra equipment I need but I'll figure it out. Advice welcome.