Amy cooks dinner - 'cooks' is an action performed by Amy.
Robin sneezed at me - 'sneezed' is also a type of action.
other words are;
dance, smile, play, look, jump, kiss ,
All of these words tell what the subject does and therefore they are visible actions (which can be seen by other people) .
If you are unsure whether a sentence contains an action verb or not, look at every word in the sentence and ask yourself, "Is this something that a person or thing can do?"
More examples :
As you can see from the examples above, the action can be a visible action ( takes, called) or amental action (worries, knows).