Simple, first of all, LCD/Led, while being a nice technology for weight and all.. is very prone to quality...
Of course a poor RCA 27" from 2003 can't compare to a LCD in terms of brightness and definition.
On the contrary, a perfectly aligned CRT monitor or high-end HDCRT (i.e. XBR970 etc) has a MUCH brighter white than any LCD/LED. I have many CRT's with perfect geometry and perfect focus up to every corner. Have you ever had a CRT where you had to put sunglasses on sometimes cause the white is too strong? All crt's i have can blind you lol if u dont open a light somewhere. Scrap the 10000:1 contrast ratios of LCD/LED... a perfect CRT in perfect shape has a PERFECT black, and a blinding white.. that means contrast ratio isnt even important for CRT's. As for precision, i have yet to see ANY LCD capable of being completely focused and without any digital noise or jitter in all resolutions from 640x480 to 2048x1536 and without losing precision. LCD/Led cannot compare to CRT's multisyncing capabilities. Being able to always display the original content perfectly is what makes CRT the best tech still. I dont see how OLED will be able to do that. It will probably have stupid fixed pixel panels with china made video cards attached to it which produce digital noise and jitter at every resolution except its native resolution.
As far as crisper, cleaner goes... ever compared a XP37 Xtra to LCD/LED in 480p on a WII? I can tell you which one wins lol.
There is no comparison to be made between standard SD CRT'S (even HDCRT's are almost always horrible) and LCD/LED.. but Multisync CRT's are still the best tech around hands down.
Lets not even talk about color gamut... LCD's have horrible color reproduction unless you have more than 3 colors of LEDs... We're talking about LCD being a filter here... Led's are limited to one frequency of color output(imagine how many colors of leds you need to get the whole spectrum of visible light), while CRT's have technically all the color spectrum. Mix your paint together and you will always have brown. Add 3 red/green/blue lights together and you will get white. LCD is a filter while CRT is a light emitting technology.
CRT Monitor:
Advantages : Perfect to near perfect geometry
Perfect color reproduction
High quality CRT's and circuits that dont break even after 10-15 years
Smaller pitch and capable of resolutions far greater than LCD/LED and plasma + the ability to display perfect non-HD resolutions in their original form without any digital conversion and loss.
If u have good cables, there shouldnt be any noise!
Disadvantage : Heavy, blinding in the dark and hard to find!
LCD/LED
Advantage : If u have a perfect signal(i.e Blu-Ray) you should get a perfect picture (this aint always true lol, cause video card quality affects this so much its crazy)
Light-weight
Cheap these days
Good color reproduction
Good whites
Disadvantages:
Horrible blacks except a few well made models
Horrible motion blur to people who can see it or are used to CRT
Prone to lots of digital jitter and noise if u are unlucky and have a low quality video card or have low quality video sources
Limited to their native resolution for perfect sharpness... In any other resolution or with any other source of signal than 720p or 1080p the picture quality is even lower than CRT (even tv's from the 70s look better lol)

this was my long description of advantages and disadvantages and why CRT is better. Of course, not ALL CRT's are better than LED/LCD. A high-end LCD/LED can compare to a high-end CRT, but for any gamer or someone who demands perfection, CRT would be the better choice hands down.