I had to check the date to make sure this wasn't a post that got bumped or a trip through the time machine occurred.
You can't compare a CRT's aperture grill pitch to a LCD's dot pitch, at least not as a direct comparison. Wikipedia will tell you what each is, if that's what you want. Generally, any LCD with a dot pitch .28mm or lower should be ok.
I did a quick search for a new ultra HD (4k) monitor that has a .182 pixel pitch. The LCD monitor I'm using right now has a .258, but is quite old. These days, the rage is all about response time, which I wouldn't get hung up about as pretty much every monitor is below 20ms now.