OLED beats them all. Fundamentally, LCDs suck, because they're throwing away half the light. Emissive patterning like OLED doesn't have that problem. Backlight bleed, black levels, color shifts, all of that nonsense goes away.
The problem with OLED is lifetimes. It's fine for a smartphone, but it's awful for a desktop display with a much longer expected lifetime. It's not a situation where it just fails outright, but rather there's a gradual decay in brightness as the display is used. Higher brightness causes it to decay faster, and the colors themselves don't have the same decay rates - blue decays fastest, then green, and red is the most stable. But, that means you'll get luminance changes in your color channels over the lifetime of the device, which change based on what you're looking at, so play a game with a HUD for long enough (or leave the display on the Windows lock screen) and you'll start to preferentially decay certain pixels more than other pixels, which results in a mess of an image.
Once they get the remaining issues ironed out, OLED will be the clear winner. Pattering the emitters is just better than patterning an absorption layer that works off of polarization.
Unfortunately, it's not just a matter of time. It's also a matter of physics. If there were a way to get LCs behave to get us IPS performance at TN speeds, we would already be doing it.