I recall there was an episode where Sheldon and Leonard were watching anime, though. I don't think it was a real anime series, though it's hard to tell, since all we heard were sound effects, and I didn't recognize the name Leonard gave it, but it lead into Penny talking about how she knew an "annie may" once, or something or another, so it's safe to assume it was at least SUPPOSED to be an anime. XDDaymo said:The reason there is no Mother, Final Fantasy or even many anime references is because the characters are archetypal western geeks/nerds/choice of word here. These guys grew up with Star trek, Star wars, tabletop and PC gaming, probably while looking down on anime and JRPGS as being restrictive and/or childish, if they were in an interenet debate, it is very easy to see them as being on the anti-anime side. Also there is the odd cosplay where they dress up as super heroes and star trek characters, but it normally falls under the common pool of topics.
obligatory defense of big bang theory here, it's a fairly typical sitcom to me. I don't see what makes it particularly good or bad, but eh, to each their own.