Fior basic color accuracy, look for an IPS panel and 100% or near-100% coverage of sRGB. If there is no sRGB specification, this is often a Bad Sign.
You can also find monitors with 100% or near-100% coverage of wide gamuts: DCI-P3 and/or Adobe RGB. The former is from the motion picture and 4K TV world. The latter is from the print publishing world.
Some monitors have 10-bit-per-channel color, which can give you more fine subdivisions within the range of colors the monitor can handle. A few monitors have the ability to store calibration profiles within the monitor itself (hardware calibration(. If you’re looking for high-end color accuracy features to support a professional work flow, you can get deep into the rabbit hole and may want to read up on things in a photography book or on a photography-oriented forum.