I dislike the show, and whilst I don't hate it as a concept, I hate its applications. I think that if you were to make it genuinely geeky, then it'd have to be a specific kind of geek that its making fun of(anime/game/computer, etc. geeks, a specific sub-culture), which would be impossible, because that would betray its mainstream appeal.
*mini-rant incoming*
I hate that it warps people's perceptions and perpetuates the nerd stereotype of incredibly beta males who are either incredible white knights under the surface because they can't get girls, and/or they do not understand how to function like a human being.
Community did it right, and its The Big Bang Theory if it was funny and less mean-spirited; in the place of someone like Sheldon, we have Abed, whose social awkwardness is explained carefully in a way that makes sense and adds depth to his character. You can still laugh at his obsession with things, but you can also laugh along with him, because you feel that you better understand why he laughs. TBBT doesn't have this level of character involved, so the motivations of the characters seem superficial, or irrelevant, leaving you to only laugh at them.
TBBT is built around the "laugh at, not with" humour, which I find to be lazy and problematic. I have a penchant for all things geek, and people just ascribed it(back in secondary school) as me being like Leonard, and asking me if I act in the same socially-awkward way he does(whilst grinning, as if they can understand me entirely because of that show). I don't like that because I have an enthusiasm for something, people ascribe all this inferred baggage with an insidious thought of immediate superiority over me because of that superiority they get from the humour in things like TBBT.
In addition, it really trivialises geek culture. Serious moments come when the cast have to stop acting so childish and enthusiastic about something because it actively damages someone or something. It pits geeks as obsessed to the point of no return, that they would act in an incredibly egotistical way because what they want is more important than others' wants and needs. I'm sorry, but unless you exhibit certain psychopathic qualities, every geek/nerd, etc. that I have met understands how to juggle their priorities around. They understand the meaning and meaninglessness of their hobby, and they can read when it is hurting someone they know. With stuff like game compulsion, a lot of people who have gotten over it have exhibited understanding that if what they were doing was harmful to themselves and others. They understand why they lost their grip on life, and why they retreated to games.
TBBT just condenses all of that complexity into a very shallow level that provides people with the assumption that they understand or know about the demographic because of that show. I find it to be the equivalent of making assumptions of Americans based on blockbuster action movies; self righteousness, patriotism, traditional values, ethnocentrism, etc. You ask a person from say, the deep south, and they might give a response that yes, that's how they perceive "true" Americans. You go to somewhere like Seattle however, and there will be at least one person who will be slightly troubled that this is the international perception of their culture. The same goes for me; yes, there are genuine people out there like the cast of TBBT, but I would find it a bit troubling that if I were to be judged based off of that show if I publicly identify as a geek/nerd etc.
So in short: I dislike it because of its implications. I know people who's perception of nerds, geeks etc. has been affected to be more stereotypical. I don't think adding in more references would make it more genuinely geeky. Scrapping the show and using the money to make another show entirely would be the only way I could see it becoming more geeky.
Just to finish: no, I don't outright hate the show, but I leave the discussion if it is about the show. I find that I will add nothing of value and I will just dampen the mood of the conversation. I dislike its applications, and I find them concerning. It's not the bane of my existence, but I feel like it can perpetuate negative stereotypes. Call me a passive dissenter if you will.