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My mother said Pikachu, in the Pikachu voice, which kind of freaked me out. She doesn't know many other Pokemon anyway, so I'm not surprised. My dad told me to study and stop playing games, so I guess he likes Snorlax.
I haven't asked for quite a long time, but I know that my dad's favorites were Snorlax (he said that he would make a good one), and "Electrabuzz". My mom liked Psyduck and Jigglypuff. She even used to sing Jigglypuff's song, even for a while after I stopped watching the show.
I went out to ask my mother, and she had this long discussion with me deciding her favorite. The conversation ended with us putting the first Pokemon movie on our wishlist for Amazon, figuring that we need to marathon the first season, and with her favorite Pokemon listed as Bulbasaur. Though it was a tough choice between Bulbasaur, Psyduck, and Gengar.