Not a Fleetwood fan so by no means an expert but they seem to be a pretty unique case- as you point out, it's pretty much 3 distinctly different bands.
I basically consider both "Blows Against The Empire" and "Chrome Nun" to be JA albums but they also had a pretty stable lineup re: albums released under that name (or are you not a fan of many of those?).
Unfamiliar with Alice Cooper but always considered him a solo artist with a band that happens to share his name. Ditto with Marilyn Manson (one of many things he ripped off from Cooper) and St. Vincent. Even less familiar with Tune-Yards and the Streets but consider them solo artists as well.