How much money are you looking to spend?
Dual core processors work fine for me (using Pentium D, Intel motherboard, and Windows XP Pro) -- as stable as the most-stable computer systems I've ever owned.
I'd stay away from integrated video. I think they usually are poor performers. It will probably run Aces High right now, but it might not be that much more money for a system with a non-integrated video card that is much faster in graphics performance.
In my view, in general, CRT's have better image quality than LCD's. I don't know how to quantify it other than to day that I'd buy a CRT instead of an LCD system if I were buying a new monitor. However, if I were pressed for space (if a CRT wouldn't fit the desk space I have available), I'd go with an LCD, I suppose.
I have had better experiences with Dell systems in terms of stability and ease of maintaining up-to-date drivers and BIOS than other systems I've had experience with (especially custom built and Compaq).