There have been many accidents over the years where pilots get distracted by a seemingly minor malfunction. The first rule of handling any problem is to FLY THE AIRPLANE! To illustrate how bad it can get, back in 1972 a Lockheed L-1011 crew was distracted by a landing gear light. They all ended up leaving the cockpit to investigate the avionics in the bay beneath the cockpit. In the meantime, the plane began losing altitude until it crashed in the Everglades, killing 100 of the 176 people on board. Distraction is a frequent cause of accidents. It wouldn't surprise me in the least that this weeks 767 crash in South Korea (probable CFIT) was caused by a distracted crew in bad weather.

Offhand, I only know of one case where a plane crashed into a skyscraper accidentally. Back in 1945, an Army B-25 Mitchell bomber was lost in bad weather and crashed into the Empire State Building. That killed quite a few people, too.

Date: 12/29/1972
Location: Everglades National Park, Florida
Airline: Eastern Air Lines
Aircraft: Lockheed L-1011-1 TriStar
Registration: N310EA
Fatalities/No. Aboard: 100:176
Details: The crew was preoccupied with a landing gear problem and was trying to replace the landing gear light while on autopilot and in a holding pattern. As the captain got up to help, he inadvertently pushed on the yoke releasing the autopilot. With no ground reference and under nighttime conditions, the aircraft gradually descended until it crashed into Everglades, 18.7 miles west-northwest of Miami . The failure of the crew to monitor the flight instruments during the final 4 minutes of flight, and to detect a descent soon enough to prevent impact with the ground. After spare parts from the L-1011 were used on other planes, apparitions of the captain and flight engineer began to be reported by Eastern employees. The book and movie "Ghost of Flight 401" is based on this accident.

Date: 03/17/1988
Location: Cucuta, Colombia
Airline: AVIANCA
Aircraft: Boeing 727-100
Registration: HK-1716
Fatalities/No. Aboard: 143:143
Details: The aircraft struck a mountain at 6,200 feet after taking off in mist and haze. The crew took off under VFR conditions during adverse weather conditions. Inappropriate presence of a non-crew pilot in the cockpit and his great talkativeness distracting part of the crew which resulted in carelessness and disorientation in monitoring the heading and altitude necessary to maneuver the plane. VFR flight into IFR conditions.

Date: 12/28/1978
Location: Portland, Oregon
Airline: United Airlines
Aircraft: Douglas DC-8-61
Registration: N8082U
Fatalities/No. Aboard: 10:189
Details: While on a flight from Denver to Portland, the aircraft ran out of fuel while the crew was distracted with a landing gear problem. Failure of the captain to monitor properly the aircraft's fuel state and to properly respond to the low fuel state as indicated by other crew members. Contributing to the accident was the failure of the other two flight crew members either to fully comprehend the criticality of the fuel state or to successfully communicate their concern to the captain.

Date: 05/02/1974
Location: Banos, Ecuador
Airline: Aero Taxis Equatorianos
Aircraft: Douglas C-47
Registration: HC-AUC
Fatalities/No. Aboard: 20:25
Details: Struck a mountain shortly after takeoff. Failure to climb to the minimum safety altitude. Overconfidence of crew. Distraction by tourist guide in the cockpit.