When I beat Final Fantasy VII: Crisis Core, and when I saw the main character, Zack, just lying on the ground, covered in his own blood, then Cloud comes crawling over (by the way this is at sometime around the morning, in a slightly heavy rain), then Zack tells Cloud that he (Cloud) will be living proof of Zack's existence. While all of that was happening, I started to become teary eyed. My eyes are starting to water just by thinking about it.
I want to remember being on the brink several times, though I'm the type of person to hold his tears back. Can't recall any specific moments though (Except when I didn't know you could save pokémon back when Red and Blue were the only ones that existed. I had come so far in a single session, then the batteries ran out ^^)