Samsung designs and builds chips (the A4 with another name basically), AMOLED screens, RAM, flash, chassis and OS (Bada) for some of its smartphones. Probably even more so for its dumbphones. I'm guessing Nokia is also more "vertical" than Apple. And that's just immediate rivals in this industry, I'm sure there's better examples if you only limit it to "in the world".
Is having one's fingers in a lot of pies quite the same thing as vertical integration? If a team making a Samsung phone needs a chip made by another arm of Samsung, do they get special pricing or do they have to bid against other chip customers?