At the end of the first Back to the Future movie, Marty comes back ten minutes early, and sees the events from the start of the movie playing out (him running to the DeLorean and going back to 1955). Then, he's sent back home, but his family is different from the original timeline.
Remember - Marty can't be sent to the original timeline when travelling in the DeLorean with the lightning bolt because he already altered his parents' lives. He could only go to the alternate timeline (the timeline of his family being successful).
In other words, since Marty already altered his parents' lives in 1955, when he hops in the DeLorean in 1955 to go back to the 80s, he's cursed by only being able to go to a alternate timeline.
Maybe, it's a coincidence, and the alternate, better timeline and the original timeline just seem to have the exact same events play out. But, I'm curious how this is possible?