I tried right click menu "Run As Administrator" item.
And I tried to launch "\PortableApps\OpenOfficePortable\App\openoffice\program\soffice.exe" also.
I tried both 3.0 and 2.4 versions.
Any OpenOffice App.
But all another Apps work fine.
The picture is the same.
I had PortableApps installed in Documents folder in my profile under Vista Ultimate SP1 and OO 3.0 failed everytime passing the splash screen.
Solution:
I created a new folder on root, C: drive, and moved every single thing that related to PortableApps to the newly created folder, C:\PortableAppsProgram. OO app worked just fine afterward!
I hope this help!