You know what? I've been thinking (I can hear the snickers. It does happen!) about what I wrote yesterday. All of my books start with conflict--internal or external--but all of the examples I cited start with action. You can have conflict without action--it's just easier to dive right in with a pirate attack. Is that a device? A cop-out?
I started a Kinky Friedman and he opens with the main character's ordinary world--a non-writing writer's NYC basement apartment, a typewriter and a blank piece of paper.
Hmm. Looking at that, there is conflict in his battle with writer's block. I've just glanced at two more books lying here next to me, The Shortest Way to Hades and Miss Julia Throws a Wedding (both reviewed here on my website) and they both start with inner conflict. One's a call to action and the other is a possibly life-altering decision.
This requires more investigation.