These things can operate above cloud cover and have a lot of surface area, that screams solar energy.
Military, off the top of my head and non-terroristic:
Awacs
Refuel
Retaliation strike Platform
Supply drop
Naval search(and long range engagement - bring back the phoenix)
Considering modern asymmetrical warfare(including complete air supremacy for one side), just about anything a jet can do, an airship can do..cheaper.
I'd have to disagree. I don't see blimps/airships as having any practical military application. If you wanted to fit and airship to do the job of an airplane or jet, it would more than likely end up far less efficient.