Simplifying things to the extreme because explaining this every single time is tiring. LCDs in general are only the "best" with static images and extremely bright environments. CRTs and plasmas are always better whenever anything needs to move. OLEDs and plasmas are also always better whenever you need to display blacks alongside relatively bright pixels.
OLEDs and plasmas however are terrible with static images and despite deploying multiple tricks to avoid burn-ins, it's never really completely safe. LCD in general is safe. Note that this is not about output quality. It is however important to know that Plasmas and CRTs are by default better than LCD in motion when it comes to quality too since they're not sample-and-hold. OLED and LCD need BFI or backlight strobing in order to have clean motion and avoid eye-tracking motion blur. Increasing the refresh rate helps, but not enough to make it perfect.
LCD is also brighter than anything which makes it great in living rooms or outdoor usage.
The different LCD panel types exist to make LCD problems less bad, if you want it to be more "responsive" you go with TN, but you stay with shit viewing angles and shit blacks. If you want to have decent viewing angles you go with IPS, but you stay with shit blacks and sub-par "responsiveness". If you want image quality in content consumption you need decent black levels so you go with VA, but you end up with shit viewing angles and also relatively bad "responsiveness".