Buck has a large bowling ball fall from a closet rack onto his head. He is not seriously hurt and it's implied to be comedic.
Tia in the beginning montage after letting her brother and sister into the house is seen slapping her brother upside the head once.
Miles in the introductory scene describes being chased home by an older bully and "railed on with a shoe".
Chanise does a karate kick to a door and knocks Buck unconscious. This is intended to be humorous.
Buck threatens people, especially Bug, first saying he will become a "ritual killing" and then driving rapidly away to the point where Tia accuses him of "almost taking Bug's head off!" and later on at a gathering, Buck arrives to pick up Tia and threatens Bug with a hatchet shown on-screen, saying he's got it in his car "not to kill, just to maim! Maybe shave a little off the ol' kneecap...". Buck also threatens to shave Tia's head while she sleeps.
A minor character called "Pal" is seen with bloody scars all over his lips, implied to be the result of a toothpick he constantly chews on. The toothpick gets stuck between his lips in one scene and he has to use his fingers to physically remove it.
Buck threatens a mean principal with "I'm comin' looking for you..." and then throws a coin at her, telling her to "take this quarter, go downtown, and have a rat gnaw that thing off your face!" referring to a large noticeable wart on the teacher's face.
It is mentioned that Buck unintentionally gave "the blue toilet water that's not good for him" to the family dog, Percy (poisonous chemical water used to clean the toilets, likely ammonia) and that when the dog goes out for a pee, it is now starting to discolor the lawn.
Most of this is intended to be comical but....Uncle Buck punches a drunk clown a few times. Uncle Buck gets maced by a woman who thinks he is a rapist. Uncle Buck comically threatens a jerk teenager with a hatchet and a power drill and later locks him in a trunk and later hits him with golf balls. Some other slapstick here and there.