Hi, welcome to the Sabayon Forums!
You should choose the latest version for your architecture, with a Desktop Environment that suit your tastes, your processor is a 64 bit one, so you can choose the 64 bit version too.
So you can choose from:
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Those ending with a "G" use Gnome as their desktop environment, those with "K" use KDE4.
Those with x86 are for 32bit machines (but they are compatible with 64bit too), those with AMD64 are for 64bit CPU (like yours).
The Gaming edition is a special edition with many games, see this release announcement:http://forum.sabayon.org/viewtopic.php?f=60&t=19394
Be sure to check the MD5, downloading the file that matches your ISO, there is an article on the wiki:http://wiki.sabayon.org/index.php?title=HOWTO:_Checking_the_integrity_of_a_LiveCD_or_LiveDVD
And read this post, it will help you for updating the system when you will complete the installation:http://wgo.wolf911.us/?p=346
There is also the 5.1CoreCD release, which is a minimal (command line only) version, it is for experienced users that want to build their system from scratch.