Rebuilding for “mac” instead of “tvos” or “ios” seems to cause stuff to build, but then there seems to be some kind of problem with haxeflixel:
/usr/local/haxe/lib/flixel/git/flixel/graphics/tile/FlxDrawBaseItem.hx:7: characters 7-31 : Type not found : openfl.display.Tilesheet
I have no idea what I’m doing. 
Tilesheet was removed and flixel wasn’t updated to take that into account.
You can use the git checkout openfl3 branch in the meantime.
…then for compilation, the SDL version used by Lime needs to be one that supports tvOS, @BigZaphod got this working already, but I wanted to mention for anyone reading this thread again. @tanis has an SDL fork with Apple tvOS support 
It’s worth mentioning that my branch sits there: https://bitbucket.org/santinelli/sdl/branch/tvos
Cheers!