Okay, let’s get into specifics: at one point in the movie, Mrs. Doubtfire pulls the hood ornament off Stuart's Mercedes. Could he get in trouble for that?
Yes, this could conceivably lead to criminal charges. In California, Daniel could be charged with vandalism, which—despite the connotation with graffiti artists or troublesome kids—really means any sort of malicious destruction or damage to property.
Mrs. Doubtfire puts cayenne pepper into Stuart's food, knowing he’s allergic. Isn't this attempted murder?
Yes, this could conceivably lead to criminal charges. Attempted murder would require a showing of intent. Did Daniel intend to kill Stuart with the cayenne pepper? Depending on the nature of the allergy and what was known to Daniel, a prosecutor could bring charges for reckless endangerment, which only requires that a defendant disregard known or obvious risks to the safety and well-being of another.