Jitsuk at elitepvpers.de has found an easy way for a druid of any spec and gear to solo Anzu for the mount.
Here is the original article
He says his method is an exploit, so i urge people trying this to beware the consequences.
First off you must be able to summon Anzu, and he says you must be 80 (not really sure why this would be the case)
Stealth through to Anzu's room, of course the first boss can see through stealth, so if you stealth around the edges he won't be able to detect you due to the level different. I've also heard Night Elves can run straight through to the other side aggroing the boss, once you get through the doorway Night Elves can Shadowmeld to drop agro, similiar to the way Rogues used to vanish back in TBC.
(Note if you find you die often attempting Anzu or clearing the room, you may want to kill the final boss Ikiss as that locks you into the instance and opens the back door shortcut into the final boss's room)
In Anzu's room you need to clear enough trash to not get agro when fighting Anzu.
He recommends clearing the pack on the left hand side of the room, pull the mobs behind the crypt in order to LoS other pats and mobs.
When your ready summon Anzu, and stand next to the crypt on the south west side of the room, just in range of the Eagle Spirit but out of range of Anzu. The Eagle Spirit is the bird to the east.
When you summon Anzu for some reason he doesn't engage and just sits there, you must keep HoTs on the Eagle Spirit at all times, the Eagle Spirit will do 300 damage a second to Anzu, and when Anzu gets really low you must finish him with one spell, (i'm guessing winding up a starfire would be the safest) If you don't finish him with your spell and the Eagle Spirit does suppposedly Anzu is unlootable.
If you mess up and miss HoTs or dps Anzu, supposedly he agroes and all his birds come out and and he tries to the wipe the floor with you.
Since the Eagle spirit only does 300 dmg a second and Anzu has 236k HP, this will take a while.
So good luck in getting your Druid mount, the drop rate has been reported as being 1%