Actually, the 19-inch Trinitron display was shipped off to an electronics recycler back in December. The only displays in our house are LCD flat panels now.
When I first started using LCDs, the technology had obvious limitations. As with most new technologies, part of the issue was the newness of the technology, and part of it was the lack of infrastructure. For example, back then few video cards had DVI output ports and most LCDs were VGA only. This created the potential for image quality problems, as the video card would convert from digital to analog, feed the analog VGA signal to the LCD, which would then reconvert back to digital.
Today, of course, almost all new LCDs ship with DVI inputs; some now come with HDMI inputs, while a few are showing up with the new DisplayPort connector. Graphics cards, and even some motherboards with integrated graphics, have DVI and, sometimes, HDMI outputs.