Doesn't that last Plants Vs. Zombies game count as an arena shooter?
Not in my opinion. It belongs in the school of shooters like team fortress with some battlefield in it.
But I think there is a definition problem that exists. Is an arena shooter something that highly resembles Quake or Unreal Tournament and specifically ignores a lot of the changes in the shooter genre in recent years. Or is it just a broad catch-word that means a shooter that embraces a fast pace, movement. What about weapon pick-ups/versus loadouts etc.
I mean Halo was inspired by Arena shooters but now its a mix of an arena shooter with a lot more modern elements. COD advance warfare has elements of an arena shooter but its also cod with progression, modern weapons, etc.
Most of the shooters in the op are very much in the vein specifically of those 90's shooters.