Factory calibration is helpful, but it usually only means the monitor was adjusted well at the factory using its built-in controls. It does not replace full calibration and profiling for your specific unit, room, and computer.

If you want the most accurate color, a hardware calibrator/colorimeter is the main upgrade path. It measures your actual display and creates a profile so your graphics card can correct remaining color errors. That can improve accuracy beyond factory settings.

That said, if your goal is simply better-looking movies and games, not color-critical photo work, you may already be near the practical limit of that monitor without buying calibration hardware. Some of what you’re seeing is also the difference between LCD/IPS and CRT rendering. CRTs were long valued for their look, and some people still prefer their color and tone response.

If you want a display that gets closer to high-end color performance, professional monitors from brands like EIZO and NEC were mentioned, though they are typically more expensive and may not suit gaming as well.