Are you sure you want to run 1600x1200 resolution on a 19" CRT (18" viewable)? Most quality CRTs out there can do 1600x1200 no problem, but isn't it to small?!

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Here are my recommendations - it seems like you're on a budget, since you want integrated options on the MoBo:
Sony's are nice, but overpriced compared to the competition and in terms of what they offer.
NEC FE950+ is a very nice monitor, same with their Mitsubishi Diamond Pro series for 19".
Samsung 900NF is aso a nice solution, but DO NOT get the Samsung 955DF if you're planning on running it as high as 1600x1200, it has significantly lower refresh rates, and I think you're stuck at 65Hz if you go that high. Definitely not pretty on the eyes.
LG 915+ is probably the cheapest solution out of this bunch, but also great quality.
Any of these monitors will do you nicely at 1600x1200. Also check out variations from Cornerstone at
Monitors Direct or ask Gossharkes about his recommendations. He's probably the most qualified person on AT to answer your question.