The most emotional videogame scene for me has to be in kingdom hearts 2 when Sora had just defeated Axel, and when Sora asked Axel what was he trying to do he replied:
"I wanted to see Roxas. He...was the only one I liked...he made me feel...like I had a heart. It's kind of...funny...you make me feel...the same...Kairi's in the castle dungeon. Now go" and Sora says his name as he fades away. It was so sad I almost cried!