I find refresh rate extremely important. I stuck with CRTs at 100Hz+ for a very long time after LCDs became popular because only 60Hz LCDs were available. I now use a 120Hz LCD and it's much more enjoyable than 60Hz. Everything feels smoother and more responsive. The improved mouse control is very obvious (this might require increasing the mouse sample rate, I use usbhid mousepoll=2 on Linux). Motion appears much sharper, because the higher refresh rate allows for higher frame rate which reduces sample-and-hold blur (see http://www.blurbusters.com for detailed information on motion quality). The fastest LCDs on the market support 144Hz. I'd like one but I can't really justify the expense right now.

However, note that I am unusually sensitive to motion artifacts, eg. I am bothered by PWM dimming of LED lights well into the kHz, and I greatly dislike 3:2 pulldown judder. It's possible that some people genuinely don't mind 60Hz LCDs, although I wonder if that's only because they've never used anything faster.