What do you mean by slim?
IMO there are no slim CRT's.
You should be able to find a HDTV in a large tv form. A rear projection HDTV that is. But they only come in the larger variety of like 50"+. That would be your only option in avoiding LCD/Plasma.
I'm in the same boat. I don't like LCD's, they have way too many negatives to outweigh the benefits. LCD/Plasma is a gateway product, there are much more superior products in development that eliminate all the negative of LCD's.
One is FED (Field Emission Display), which won't be released till around 2009/2010 (at first, it won't be filtering down to the consumer market). It's basically a CRT in a flat panel form....I won't get into too many details since I have so often regarding these technologies, but if you want just search google/wikipedia for "FED" or "Field Emission Display".
http://www.youtube.com/watch?v=ML2Cik7-7ic
The other, is OLED (Organic Light Emitting Diode). It also eliminates the faults in liquid crystal and plasma displays. OLED's are truly impressive. You really can't just put into words how cool they are. Here's a link
http://www.youtube.com/watch?v=3Ufs9Wx0VXQ
Unfortunately, you're going to have to nab a LCD/Plasma, or get a rear projection TV. Those would be the only choices....