The best option for video decoding simply is Intel graphical chipsets, which are integrated to their CPUs. If we are talking about a desktop computer with an Intel CPU, just remove the AMD/ATI video card for better performances, 3D acceleration and a lesser energy consumption!

If you stick to the AMD/ATI card, you can easily get a newer kernel and a newer graphical stack with Trisquel 6.0 (those back-ported from Ubuntu 13.10). Try to install the following packages (e.g., with the Synaptic package manager) and reboot:
linux-generic-lts-saucy
libegl1-mesa-lts-saucy
libgles1-mesa-lts-saucy
libgles2-mesa-lts-saucy
xserver-xorg-lts-saucy

For Debian, well, ask on Debian's forum...

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