Age-old argument. Do a search on this topic and you'll see multiple of threads and debates about this throughout the history of this forum.
Why not have another.
Here are my top 3 reasons I pick CRT over LCD:
1. Rose-coloured glasses - nostalgia is the driving force of this hobby, having things run on an original display the way it was intended to appeals to me. But I grew up in the arcades, so my background may be different from some members here that never got to experience the good ol' days.
2. Lagless gameplay - LCD's will never equal the response rate of an CRT. Even today, if you were to go to any fighting game tournament you'll see the Smash Bros crowd lugging around their old CRT's, bless their little souls. It's because LCD lag is a real thing, and for most arcade games those milliseconds of response could be the difference between a high-score and kickin' rocks.
3. Longevity - if you invest the time to learn how to fix and maintain a CRT, you can keep them alive for multiple decades. Sure you could probably replace your LCD with a new one, trashing the old, but why spend hundreds of dollars every few years when you can spend a few dollars and a bit of soldering time on replacement components.
Top 3 reasons I'd go for an LCD over CRT:
1. Present games - Ability to play the newer games on a display format it was intended to. Fighting games being foremost on the list, but there are retro-remakes and indie titles that are built with that widescreen format in mind.
2. Space - obviously for those smaller form projects and those who are lacking in the square-footage dept.
3. Heat generation - LCD's run cooler than CRT's. Full stop.
In any case, I still lean towards CRT's...for now. But situations may change later on, and my thinking is as long as I can still keep my CRT's alive and well I'll stick to 'em.
Lately though, space is a concern and may force me to put my CRT cabinets into storage and resort to LCD gamin'.
Bottom line is, YMMV. Do you, who cares what others think. If you wanna go with an LCD, do that. As long as you like it, are having fun with your project, who cares what a bunch of cranky old strangers on the internet think.
Now get off my lawn.
