Screen resolution problem

If windows after the replacement loaded a gen plug and play monitor file.
Go under display properties in windows. Go to monitors and uncheck hide modes that my monitor can't use and reboot. On reboot you should have the old settings back unless it the monitor cable is causing the issue.

I'm not too sure what your issue is, but all details including your monitor model number may be of use in troubleshoot procedures.

Also, have you tried using DVI, if available? Analog connections can tend to be not so amazing as it's what it says... analog, so your video card has to actually convert from a digital format to an analog format.

Are you sure that your monitor is being registered as what it is? To check this:
Open the AMD Catalyst Control Center
Click the My VGA Displays menu option
Click the first option Properties (VGA Display)
At the top of this page it should display your monitor model.
- Note: There is a check-box for Use Extended Display Identification Data (EDID) or driver defaults
- While, I don't recommend un-checking this option, you can. This will allow you to manually put in the Maximum Refresh Rate
as well, as the Maximum Resolution.

If this is all kosher, then your next option would be checking the Device Manager:
Open this using - Start > Type in the Search Box "Device Manager"
(alternatively the Control Panel, viewed as Small or Large Icons, there will be the Device Manager option)
In the Device Manager you will see a [+] next to "Monitors"
Make sure the items listed match the model of your monitor, to confirm Windows is properly recognizing your device.

Please know that manually forcing the Refresh Rate of your monitor can cause more issues, some as easy as changing the Phase settings via the monitor's GUI menu.

Edit: Wow, I just looked at your screenshots... just because Windows is giving you a "Recommended" resolution, it DOES NOT mean that you will be able to get the 60Hz refresh rate at that resolution. Different/higher resolutions will not always have the same refresh rate.

You should use my first solution to see what AMD is saying about your monitor, before ever trusting Windows' "recommended" settings. I never use the Display Properties as a reference for my monitors as most of your monitor's "actual" recommendations are configured and displayed through AMD's Catalyst Control Center.

Your first light bulb going off should have been the fact that the 1920[...] recommended resolution is a new option, I assume from your post you have never seen. Use the software provided with your drivers, if the above Use Extended Display Identification Data (EDID) or driver defaults is un-checked in the Catalyst Control Center. That's more than likely your problem as Windows will just go off whatever AMD's telling it your monitor can do, from my experience.

Where it said "True Colour - 32 bit" in the Display Panel, change that to the full option, usually it says "High Colour - 32 bit" or "Highest"
.

I've never seen a "High Color" in Windows referencing 32-bit, only "True Color". Maybe back in the day 16-bit was "True Color" or something..? But "True Color (32 bit)" or "High Color (16 bit)" are the options you're given..

Regardles of the color type, it's probably the new vga to vga cable, it's not properly fitted to each connection.

When you have the Catalyst Control Center, based upon what I can tell it governs all of what Windows sees your monitor's display settings (etc.) as, therefore that should be your first thought. If your monitor is displaying anything at all I would doubt that the cable is not properly fitted. Sounds more like driver or software configuration issues.

I doubt that it's driver or software configuration, most likely the cable is not fitted into the connector properly however, if the option to show all modes is checked, uncheck it, you can only select modes that are supported, not unsupported.

Make the monitor set to defaults, the monitor should not be tuned by the user, only the PC software (Display utility) to the monitor.

Do you use Radeon HD? From the sounds of it you have no idea what the AMD Vision Engine Control Center does... or you are not correctly listening to anything I have said. Nor have read none of the previous posts prior to posting your own. You are taking mere tidbits of sentences and disagreeing not once did I say that the user would configure anything about the monitor...

HOWEVER AMD Vision Engine Control Center, does much more configuration of the monitor than WINDOWS does THEREFORE Windows relies on what AMD says about MONITORS after the CONTROL CENTER is loaded at start up. MEANING if AMD Vision has detected your monitors EDID or whatever wrong WINDOWS WILL TOO. Sheesh, how many times do I have to reword this?