Here is how we start:

1 really ripe avocado (too ripe is better than not quite ripe enough)
1 ripe banana
3 T toasted carob powder*
1/2-1 tsp raw honey, optional (not pictured)
Cut the avocado in half and scoop the halves into the food processor. Peel the banana, cut it into large chunks, and add it to the food processor too. Add the carob powder on top.

Looks appetizing huh? Anyway, process the ingredients until they start to break down and get smooth. Taste and adjust sweetness with the raw honey. Process again until the pudding is completely smooth and creamy and then scrape into a bowl.

The pudding is done! Stick a spoon in it and go to town. You can also keep it in the fridge for a few days, but it's a good idea to put a piece of plastic wrap down touching the surface so that it doesn't get a skin (just like "real" pudding). I usually get two servings out of one batch.
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*Note about carob: Carob is often marketed as a chocolate substitute, which I think does carob a pretty big disservice. As a chocolate substitute, frankly, it sucks. As a food in its own right though, I think carob has a delicious toasty flavor. I you don't like carob or if you would rather have a chocolate pudding, just replace the carob powder with cocoa powder and up the honey to 1 Tablespoon (carob is naturally sweet whereas cocoa powder isn't, so the cocoa powder needs a boost).