Hi FairCold and welcome to Windows 7 Forums
Since your LCD monitor is working when you boot into safe mode, that eliminates hardware. It is probably a driver issue or, more likely since your CRT works, a settings issue. What refresh rate have you got it set at? There is generally no need to drive an LCD monitor at a higher rate than 60Hz. A CRT, on the other hand, can work upto 150Hz (depending on model and resolution). If your refresh rate is other than 60Hz, try setting it to that frequency and see what happens.