This sort of thing happens several times per year, though it's often "just" a dismemberment. Escalators, too, which seems surprising to me.
At any rate, don't try to beat the elevator door!
NEW YORK (AP) -- A woman was killed in a freak elevator mishap Wednesday at a Madison Avenue office building, Fire Department officials said. The accident happened at around 10 a.m. in a 1920s office tower near Grand Central Terminal that has been the longtime home of advertising agency Y&R, formerly known as Young & Rubicam. Fire officials said the woman was stepping onto the elevator on the first floor when either her foot or leg became caught in the closing doors. The car then rose abruptly, dragging her body into the shaft and killing her, officials said. The elevator then became stuck between the first and second floors. Two women who were on the elevator were taken to a hospital to be evaluated for psychological trauma but weren't physically injured, Fire Department officials said.
Figure 5. Deaths among passengers using elevators while at work, by cause, 1992-2001
Note: Total of 68 deaths. An example of a passenger death while at work is a salesman in a warehouse or a messenger in an office building. "Others" includes being struck by an elevator or closing elevator doors.
Source: U.S. Bureau of Labor Statistics CFOI Research File.
Figure 6. Deaths among elevator or escalator passengers while not at work, by cause, 1997-2003
Note: Data through 5/25/2006. Total of 56 elevator and 24 escalator deaths.
Source: Consumer Product Safety Commission data.