Mainly the implied notions that Matrix is a devoted father, and the gung-ho vibe that one above-the-law guy with lots of firepower can take care of business, whereas police and legitimate military are useless.
Blood spatters as people are shot, often multiple times. One arm cut off. An electrocution (oddly non-fatal), numerous stabbings/impalements, beat-downs, falls from lethal heights, big explosions, car crashes. One tranquilizer-darting. Another character fatally slammed into by a car. One character's neck broken.
Brief glimpse of a naked couple in bed when a motel-room door is broken town; bare breasts shown. The heroine pretends to be seducing a bad guy.
The f-word repeatedly (once uttered by the hero), the s-word, "ass."
Matrix invited to have a beer.