Some of these stative verbs can be used in the continuous form but their meaning will change. For example:
To think:
Do you think so? (Stative - Is that your opinion? Is that the state of your belief?)
He's thinking about his friends in Poland (Dynamic - The action of thinking. His friends are in his thoughts, in his mind right now but he might be thinking of something else soon).
To have:
He has got brown eyes (Stative - He possesses brown eyes. The colour is unlikely to change).
He's having a pint of beer (Dynamic - The action of drinking. He might be drinking something else soon).
To see:
I don't see what you mean. (Stative - I don't understand what you mean).
She is seeing him next week. (Dynamic - She is meeting him).