I've experienced one aborted takeoff: UA858 PVG-SFO about 10 years ago. One of the tires on the main landing gear blew out as soon as the nose gear separated from the runway, engine power was immediately cut, speed breaks deployed, and reverse thrusters engaged. We taxied back to the terminal in short order, and about 50 passengers were put on the ORD flight. The rest of us were given exit stamps to go back to the departures lobby and sort things out. I'm guessing that many ended up spending an additional night in Shanghai, but I ended up getting out of there on AC to YVR several hours later. My recollection is that UA did a pretty good job at handling the situation, and I was appreciative that the captain did not decide to proceed to SFO with the blown tire.