I have used Photoshop CC on Windows 8.1 but none of the other applications in the suite on it. All should be fine though.
The links below document the main improvements in Windows 8.x and get quite technical and were written by Steven Sinofsky himself leading up to the release of Windows 8. I have bolded and italicized the ones most worth reading. Keep in mind though that some of the screenshots may inaccurate since the GUI has changed a bit since the 8.0 release.
2D rendering and performance improvements http://blogs.msdn.com/b/b8/archive/2012/07/23/hardware-accelerating-everything-windows-8-graphics.aspx
Simplified and improved printing support http://blogs.msdn.com/b/b8/archive/2012/07/25/simplifying-printing-in-windows-8.aspx
Media platform improvements http://blogs.msdn.com/b/b8/archive/2012/06/08/building-a-rich-and-extensible-media-platform.aspx
IPv6 in Windows 8.x http://blogs.msdn.com/b/b8/archive/2012/06/05/connecting-with-ipv6-in-windows-8.aspx
Enhanced multi monitor support http://blogs.msdn.com/b/b8/archive/2012/05/21/enhancing-windows-8-for-multiple-monitors.aspx
Startup time improvements http://blogs.msdn.com/b/b8/archive/2012/05/22/designing-for-pcs-that-boot-faster-than-ever-before.aspx
NTFS file system improvements http://blogs.msdn.com/b/b8/archive/2012/05/09/redesigning-chkdsk-and-the-new-ntfs-health-model.aspx
Advanced storage enhancements http://blogs.msdn.com/b/b8/archive/2012/01/05/virtualizing-storage-for-scale-resiliency-and-efficiency.aspx
Large hard disks and sectors in Windows 8.x http://blogs.msdn.com/b/b8/archive/2011/11/29/enabling-large-disks-and-large-sectors-in-windows-8.aspx
Minimizing Windows Update restarts http://blogs.msdn.com/b/b8/archive/2011/11/14/minimizing-restarts-after-automatic-updating-in-windows-update.aspx
Using Task Manager with 64+ logical processors http://blogs.msdn.com/b/b8/archive/2011/10/27/using-task-manager-with-64-logical-processors.aspx
Windows 8.x power management http://blogs.msdn.com/b/b8/archive/2011/11/08/building-a-power-smart-general-purpose-windows.aspx
Task Manager's vast improvements http://blogs.msdn.com/b/b8/archive/2011/10/13/the-windows-8-task-manager.aspx
Reducing runtime memory http://blogs.msdn.com/b/b8/archive/2011/10/07/reducing-runtime-memory-in-windows-8.aspx
ISO and VHD native support http://blogs.msdn.com/b/b8/archive/2011/08/30/accessing-data-in-iso-and-vhd-files.aspx
Improvements in Windows Explorer http://blogs.msdn.com/b/b8/archive/2011/08/29/improvements-in-windows-explorer.aspx
File transfer improvements http://blogs.msdn.com/b/b8/archive/2011/08/23/improving-our-file-management-basics-copy-move-rename-and-delete.aspx
Robust USB 3.0 support http://blogs.msdn.com/b/b8/archive/2011/08/22/building-robust-usb-3-0-support.aspx
File History http://blogs.msdn.com/b/b8/archive/2012/07/10/protecting-user-files-with-file-history.aspx