I have so many, but i like when lovejoy is chasing jack and rose, and also the peer ones where rose says "why cant i be like you jack, just head off to the horizon whenever i feel like it ect"
One of my favorite moments in the movie is when Andrews is in the ballroom as water rushes in, and he adjusts the hands of the clock. The way he treats the ship with such care even as they're sinking and he's resigned to it, and of course the violin quartet in the background, makes me cry more than the deaths or romantic moments.