The Windows file explorer is not color managed, and an not be expected to display correct colors.
Irfanview is not color managed by default, but color management can be enabled in Options > Properties/Settings.
Note that the embedded profile does not have to match the RGB working space. The embedded profile will override the working space, and color management ensures that correct colors are displayed. Colors will be converted from the embedded profile to the monitor profile.
If Photoshop and Bridge display wrong colors, this could be caused by defective monitor profile, or a bug in the GPU driver.
To begin with, try setting the monitor profile to sRGB (use Adobe RGB if you have a wide gamut monitor).
If this fixes the issue, you should ideally calibrate your monitor with a hardware calibrator.
This will also create and install a custom monitor profile that contains an accurate description of your monitor's color response.
Close all color managed applications. (PS, Bridge etc.)
Press the Windows key + R, type colorcpl in the box and press Enter.
Add the sRGB (or Adobe RGB) profile, then set it as default.
