They would like that very much over a birdcage, I would think. You might have to add a double door to keep them from escaping when you opened the door for any reason, though.
I'm looking into owning budgies. I can't have them loose in the house but I want them to have enough space so I've decided an aviary would be best. I've found one that seems really good but I want to make sure it's suitable.
http://www.ebay.co.uk/itm/WOODEN-AVIARY-HEXAGONAL-FLIGHT-HOUSE-CAGE-IDEAL-FOR-BIRDS-CHIPMUNKS-CATS-NEW-/261135303496?pt=UK_Pet_Supplies_Birds&hash=item3ccce08348