I find it really annoying that there's no option to set skyrim to fullscreen windowed mode, as I watch streams or listen to music sometimes next to playing skyrim.

Is there any Possibility to set skyrim to this mode?

As far as I know you can obtain a full screen mode with mods, but there is not a legitimate form of obtaining the same effect.

You can choose windowed mode and set the windowed resolution to your screen resolution, but I believe you'll have to deal with the taskbar obstructing the bottom of the screen if you do.

However, you might be able to get around that by setting iSize W to whatever length you'd prefer in the SkyrimPrefs file located in Documents\My Games\Skyrim, but this might cause some screen distortion.

Have you tried this mod?

http://skyrim.nexusmods.com/mods/4/?

there is the option somewhere to hide the taskbar... then mouse pointer to base of screen and the taskbar reappears.. for you to click on whatever program

How come you can't select windowed mode and then hit F11?

I tried it but it didnt do anything, so i tried another which was posted in the comments which worked then, but very very thx bro