HDR10 is the format, and there are various quality grades for supporting hardware:
Summary of DisplayHDR Specs under CTS 1.1 Information about the CTS 1.2 specifications announced May 7, 2024 may be found here. The table below is a summary of the specifications for the VESA DisplayHDR and DisplayHDR True Black standards as they are updated by CTS 1.1 released on September 4th...
displayhdr.org
HDR is mostly worthless on most LCDs. You need a lot of dimming zones and fairly extreme brightness capability to get HDR content to look decisively better than the same content in SDR. Window's native HDR support is also atrocious, so if you use it on a Windows system, you'll probably be disabling it frequently to use non HDR content on your HDR display.
My Samsung G7 32" supports the HDR 600 spec and is just
barely bright enough to make HDR some content passable, but still has major issues due to there only being eight local dimming zones. I've never seen an HDR 400 display where HDR support wasn't just a token feature...they can't get bright enough and don't have the contrast to do it.
If HDR support is really important to you, OLED is the only real way to go currently. Some high-end LCD displays with enough dimming zones can look pretty good, but there will always be haloing in some scenes because even the 1152-2048 zones you'll get on a high-end panel still leaves about eight-thousand pixels per backlight. There are a few dual-layer professional displays that stack a half-resolution monochrome LCD behind the main panel to use as a dimming filter, which effectively gives them millions of dimming zones (one zone per four pixels of display resolution), but these displays are small, hideously expensive, and ultra niche.