Snow Leopard on MBA 2011 ***NOT*** fully working
I took my best shot at this on a maxed-out 2011 MBA11 i7 refurb and failed.
Originally I just cloned over a SL partition from a final maxed-out late-2011 MBP17 i7, which I'd previous got working perfectly with SL. After copying in the kext files (mentioned in this thread) using Kext Wizard, SL booted up fine on the 2011 MBA11, but unfortunately with the following issues: (1) Sleep doesn't work; (2) System Information says no kext was found under Graphics/Displays, which is borne out by huge CPU usage whenever doing anything graphics intensive; (3) trackpad works for clicking but not for right-clicking or any gestures, and is not recognized in Trackpad System Preferences; (4) function key row is completely non-functional. Collectively these problems are show stoppers.
I tried again by cloning over a SL partition from a maxed-out 2010 MBA11 Core 2 Duo. This worked similarly to using the 2011 MBP17 partition as a base, but I noticed something interesting this time... using the original kext files, the 2011 MBA had its screen blacked-out but could be used with an external monitor. Moreover, System Information showed that the Intel 3000 chip was detected and working fine on the external monitor. After overwriting the base kexts with those mentioned in this thread, the native MBA monitor worked, but without graphic card support, and System Information for Graphics/Displays showed that no kext was found... even for the external monitor! So there's something about the replacement kexts mentioned in this thread that allows the native screen to be recognized at a low level, but messes up Intel 3000 support.
Then I went and tried applying the original Thread Starter's instructions exactly. Unfortunately my retail 10.6.0 SL DVD crashed with a black-screen log while booting on the 2011 MBA i7 (regardless of whether it was first restored to a USB drive). So I purchased a retail 10.6.3 SL DVD and tried again, but this also failed to boot (hanging at the Apple logo instead of crashing). So this method was dead-in-the-water for me. I wonder how it could have worked for the Thread Starter? I suppose it could have worked for the 2011 MBA i5 but not for the i7, or maybe due to some differences in the manufacturer of his screen or SSD (mine are both from Samsung), or some other quirky difference. Even if his installer method worked for the Thread Starter, I'm not 100% convinced that his resulting system escaped the 4 problems listed above (sleep, graphics, trackpad, function keys). If the Thread Starter is still following this thread, I'd be interested in his confirming these points.
I later tried copying all the display/trackpad/mouse/etc. kexts from the 2011 MBA's original Lion partition over to my SL test partition, but these updates had no effect, good or bad. So I'm wondering whether the issue was never really the kexts in the first place... I'd bet that the 10.6.8 kext set is good enough to run SL fine on the 2011 MBA, but the problem is somewhere else... perhaps it's misidentifying the hardware somehow? I wonder whether someone from the Hackintosh community would know how to deal with an issue like that.