Homer is not a thinking man. If we want to know his Enneagram number, I think we can safely rule out any of the Head Types.
And yet he has such a love of the carnal, as a Seven would. Food, sloth, fun. The gyroscope of the world holds no interest for him, though. Not a Seven.
Well, then, a Body Type. To take such pleasure in digestion, to the workings of the body, suggests an Eight or Nine. (Not a One. Heavens, no.) He doesn’t seem aggressive enough to be an Eight. Homer is content to ride along on the wave of comfort. Very Nine-ish. But, boy oh boy, is he no diplomat or community leader. Not very Nine-ish.
Not a Three or Four. He’s not fastidious enough for either number.
A Two? He actually has a good heart for his family. In his comic strip/animation way, he’s a loving father and husband. Twos also take pleasure in the community of eating and entertaining. It doesn’t come from lust or laziness. A party is how people relax with each other.
Also, a Two’s oldest child could very well be an Eight, as Bart is. It’s the strength/weakness move again.
There’s something strangely lovable about Homer. He accessible. A Two.