You'll see a lot of discussion around how to photograph kids that applies, equally, to birds and wildlife but seems to get forgotten or ignored in those realms. Get down on their level, make eye contact in the image, don't frame too close to here they're looking, etc. One of the biggest things for birds/wildlife relates to Tom's post above: Catch them doing something interesting, or *something boring in an interesting manner*. I can't count the number of times I've binned a shot that's fantastically focused, framed, etc but the darned thing is just SITTING there; catching a stretch, yawn, blink, alerted pose, scratch, shake, etc is what I really look for now days. Hell, a lot of times, I'll take a quizzical look.
Duane: For your image, while you have a closed eye, it still works as "eye contact" and falls in the doing something boring in an interesting manner category. Those things are just too darned cute when they nestle down like that and you've got a nice angle for showing that's just what is going on there. Keeping it framed to the right gives "head room" to the left since that's the way it's, effectively, "facing".
Tom's ducks are are great example of breaking up a pattern; I would not have quantified that one as a keeper, if *I* had shot it as it doesn't fall into the wheelhouse of what I normally look for, but it is a good shot.
I, generally, like to shoot more like Duane mentions of isolating out a subject and focusing on it/what it's doing; but, every once in a while, a shot presents itself that breaks that mold and still gives a nice result. This is one of my favorite "chaos" shots that a flock of shore birds gave me on an outing a few years back:
I really like the fact that several different types of birds in there give the eye something to stick to as it's scanning over the relative jumble of birds doing something at once.