Dot pitch is not really applicable to LCD screens. Flat screens use a pixel pitch measurement and, basically, all LCD screens of the same size have the same pixel pitch. Pixels are also rectangular on an LCD, as opposed to the shadow mask (dot) or aperture grill methods of masking used on a CRT. This makes the measurement non-comparable between CRT and LCD, and actually even the measurement between shadow mask and aperture grille CRTs are not comparable.
Refresh rate is a term also mistakenly applied to LCDs. LCDs have a pixel response time and there are actually two separate types: white-to-black and gray-to-gray. In the past these were critical specifications to know because a slow response time could mean that an LCD would exhibit ghosting when playing games with high frame rates or while running videos on your screen. With the newest monitors, most of which have response times of 8ms or better, it's not much of a consideration anymore.
Contrast ratio is important because it defines the difference between the whitest whites and the blackest blacks a display can produce. LCDs have lower contrast ratios than CRTs because their design, in which the light from an LCD is backlit and not produced by phosphors as on a CRT, means that you can never get really true blacks. That's why most professional graphic artists still use CRTs. Without true blacks the grayscale production is affected which affects color tone. LCDs are notorious for not being consistent across the entire screen real estate as well so they are difficult to color calibrate. For the casual user though who doesn't spend most of their time in Photoshop or Maya, an 800:1 or higher contrast ration will suit them just fine.
One advantage of an LCD over a CRT, by virtue of it's design, is eye fatigue. A CRT must refresh the phosphors on the screen a certain number of times every second. Many people will run their video output at a refresh rate of 75Hz or higher to avoid the flickering induced at lower refresh rates. However, even though we don't consciously notice the screen refreshing it still has an effect of fatiguing the eye. LCD pixels are either on or off. They don't refresh so their is less strain on the eye. It's also why you really won't notice any difference when running your video card output at 60Hz or 75Hz to an LCD.
Hope this helps.