Why is a Harrier or a helicopter not a full aircraft? They certainly look and behave like aircraft.
The Harrier actually launches horizontally on carriers like the Invincible, but they require the ski-jump to launch, and the deck isn't, I think, long enough for conventional carrier aircraft.
See the links below; compare "max takeoff weight" for vertical takeoff ("VTO") and rolling takeoff (also called short takeoff, or "STO").
http://en.wikipedia.org/wiki/BAE_Harrier_II#Specifications_....
http://en.wikipedia.org/wiki/McDonnell_Douglas_AV-8B_Harrier...