You could just try installing Adobe AIR again and then running the uninstaller again in the hope that it would work correctly the second time. For me though, running the uninstaller removed these files and directories:
/Applications/Adobe/Flash Player/AddIns/airappinstaller/airappinstaller
/Applications/Utilities/Adobe AIR Uninstaller.app
/Applications/Utilities/Adobe AIR Application Installer.app
/Library/Frameworks/Adobe AIR.framework/
/Library/Frameworks/Adobe AIR.framework/Versions/1.0/Resources/airappinstaller.rsrc
/Library/Frameworks/Adobe AIR.framework/Versions/1.0/Resources/airappinstaller
/Library/Frameworks/Adobe AIR.framework/Versions/1.0/Resources/Adobe AIR.vch
/Library/Frameworks/Adobe AIR.framework/Versions/1.0/Resources/Adobe AIR Updater.app
/Library/Frameworks/Adobe AIR.framework/Versions/1.0/Adobe AIR Application Installer.app
/Library/Frameworks/Adobe AIR.framework/Versions/1.0/Adobe AIR/
But it didn't remove these files and directories:
/Users/Shared/Library/Application Support/Adobe/AIR/
$HOME/Library/Application\ Support/Adobe/AIR/
$HOME/Library/Caches/com.adobe.air.Installer
$HOME/Library/Preferences/com.adobe.air.els.<some-hash>.dat.plist
$HOME/Library/Preferences/com.adobe.air.els.<some-hash>.dat.plist.lockfile
They all look safe to remove - certainly nothing that wouldn't be replaced by reinstalling AIR. I haven't looked exhaustively, but I'm struggling to find anything else with AIR's fingerprints on it.
2In my machine I had to run this command against this path instead /Applications/Utilities/Adobe AIR Uninstaller.app/Contents/MacOS/Adobe AIR Installer" -uninstall – pm_labs – 2015-07-15T03:41:10.883