I'm looking for an episode where a black faceless man stands behind Homer in his home.
This due to an animation error. (E.g. Like in the episode with Mel Gibson where Homer has a "third hand").
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I believe the episode you are looking for is Homer Vs. Lisa and the 8th Commandment from Season 2, at time 19:40 on my DVD.
But I don't think it's an animation mistake per se - Homer is at the window and the other characters are in the background so are meant to look out of focus and "blurry". Well, judge for yourself :)