Is this a new problem that started recently?

Does it affect the regular organic results (white background) or only the advertising results (green background)?

If you go "back" from the bad page to your Bing results, do they look correct or still messed up?

For cases of glitchy displays, I suggest disabling Firefox's use of hardware acceleration for graphics. This feature can run into problems when your display drivers update even if worked fine before.

You need to restart Firefox in order for this to take effect, so save all work first (e.g., mail you are composing, online documents you're editing, etc.).

orange Firefox button (or Tools menu) > Options > Advanced

On the "General" mini-tab, uncheck the box for "Use hardware acceleration when available"

If you restart Firefox, is the issue resolved (or at least improved)?

Upon second reading...

If you are opening the results in a new window, and Firefox opens that window but immediately shifts it behind your previous window, you may have encountered a bug in the protected mode of the Flash player plugin. Please see the following thread for more information and known workarounds: Opening New Windows and Shockwave Flash.

This reply does not address my problem. Everything about the displays is correct. However the next reply is exactly what is happening to me. Thanks.

I have this problem too, since September 2013 I think. My FF is configured to open links in a new window. It used to be that when I clicked to open a link, that link would be "on top." Since this started happening, the new link opens, but within a tenth of a second, the top page is the page that I launched the new link from. It's not flash-specific - ANY link behaves this way.

Hi cr10, if you have Windows 7 or 8, you should try disabling the Flash Player protected mode anyway.

Have you tested in Firefox's Safe Mode? That's a standard diagnostic tool to bypass interference by extensions (and some custom settings). More info: Diagnose Firefox issues using Troubleshoot Mode.

You can restart Firefox in Safe Mode using

Help > Restart with Add-ons Disabled

In the dialog, click "Start in Safe Mode" (not Reset)

Any difference?