Yes, The Simpsons avatar generators are without a doubt inspired by the popularity of Miis. End of discussion
There are two such generators that I’m aware of - one at simpsonsmovie.com, and another, sponsored by Burger King, at simpsonizeme.com. The latter, in my opinion, is far superior.
Simpsonizeme.com has a more amusing avatar creation interface than the one on the official Simpsons site, it uses face recognition software to analyze your uploaded photo to generate a ‘Simpsonized’ rendition of your face (and does a reasonably good job, I might add) and then allows you to tweak, a la Mii Channel. Finally, it lets you download a finished image of your avatar in a Springfield-esque backdrop of your choosing:

My sister gets simpsonized
Does it do a good job? It depends… as with Mii-making, choosing the basic features (which in this case, is handled by the software) is just the beginning; fine-tuning is the most important element. If you’re willing to take the time to fiddle with all of the features (and put up with intermittent lag, as the site is popular and can get slow), you can put together a pretty solid likeness.
Here’s mine:
C.J.V. Simpson
