Sigh. To think is an act, to have is an act, to possess is an act, therefore, they denote action, ergo, are verbs of action.
Examples: "What are you thinking?" "I thought about it before typing it." "Synapses fire when you think." "Waitress, I'll have the watercress salad, please." "She has the papers in her hands." "He was possessed by the demon."
No need to shout. All of the verbs I posted can be motions, and I challenge anyone to show a viable example of how they cannot be. Think broadly, not narrowly.