For 2D era game consoles, and maybe a future MAME setup:
I've held on to 3 CRT TVs, all from ~2005 when the last of them were being made.
14" Toshiba (14AF45?)
20" Panasonic Tau
24" Toshiba 24AF44
Of these I think I like the 20" Panasonic the best. I need to try making service menu adjustments on the 24" Toshiba though. The 14" is great but it's only 14".
Thanks to their late production, all of these have a full set of analog connections including SVideo and YPbPr but not RGB (consumer TVs never had that in the US). I've tried using the YPbPr inputs with a Geforce card at one point but NVidia drivers apparently refuse to output 480i signals over Component.
When I bought the 24" Toshiba at a thrift store, just a few days later I saw an identical twin of the same model TV at the same store. I thought really hard about buying it just to have a matched pair.. but didn't due to space.
It's been a few years since I saw a CRT at a thrift, so I think my "collection" is settled unless I want to mess with Craigslist.
For modern PC games:
When I have a dedicated gaming PC (which I've had in the past, but currently don't), I've hooked it up to a 45" 1080i LCD TV. It's unfortunately just a bit too old to recognize 1080p signals, but most games will run in 1080i. Dark Souls won't, but 720p is fine as a fallback.
That TV was made in the transitional era and has inputs for everything. It's input lag is almost negligible (I don't notice it in most situations, and when I do it's very tiny). If I couldn't keep the CRTs then it's probably the best substitute for them that I could hope to find, but I prefer to keep the CRTs.
For older PC games:
I've held on to an NEC 17" aperture grille CRT monitor but it doesn't work. It always had a beautiful picture but after a power outage it wouldn't turn on anymore. I'm hoping it's a simple fix but I have no experience troubleshooting these things.
I've decided to get rid of an iMac with a working CRT in it. I'm giving up the bird in the hand for two in the bush, I guess.