There are some shaky cam moments as zombies chase the living through tight corridors and up narrow staircases but it didn't bother me. It's mostly in the early scenes before the characters know what's going on to emphasize the chaos happening right around them. Truthfully, I was more conscious of all the "epic" widescreen shots of zombie masses and cities in ruin. You don't see that much in zombie stories, another clue they didn't want to sell this as just a horror movie. A huge chunk of budget was spent on aerial filming.
I slept through most of "Quantum of Solace" so I can't really compare, though.