Even more recently, in October, a 22-year-old woman from Jacksonville, Fl. pleaded guilty to shaking her baby to death. She told investigators she became angry when her three-month-old son started crying while she was playing "FarmVille."
Other controversies have surrounded the company, including how Zynga handles its users' privacy.
Reports last year referred to the company as "Scamville" for using third-party offers that some users found misleading, though TechCrunch, the blog that originated those reports later praised Zynga for taking steps to eliminate elements of some questionable third-party ad practices.
"Well, I think that you start to get a lot of criticism as your company is more successful," said Pincus.
Last month, a lawsuit was filed against the company, alleging that it illegally shared the Facebook user data of its customers with advertisers and data brokers.
"At every point, we put the user first. At every point we protect user's information. We've never sold user's information to anybody, and we don't intend to," Pincus said. "In fact, we need to make social games a comfortable place for you to come and play and share with your friends. We have no interest in ever abusing that trust, and we never have and we never will."
Though it's still a private company, Zynga is estimated to be worth around $5.5 billion, according to Sharepost Inc. -- with annual revenue of more than a half billion dollars this year.
Pincus would not discuss the company's finances in specific terms, "I won't confirm or deny the presence of revenues in our company," he said, though adding, "You're in the ballpark."
The company is growing incredibly fast, with 1,300 full-time employees, the majority of them based in California. Zynga is already preparing to move into a new headquarters a few miles down the road -- the company's third new building in less than four years.
Like its Silicon Valley predecessors, Zynga prides itself on a work environment filled with special perks meant to create an atmosphere that keeps things playful and rewards employees for hard work.
Pincus named the company after his beloved pet dog. "She became the mascot and the icon of our whole company," he said.
Every day is "bring your dog to work day" at the company, not to mention the fully stocked snack area in each office, weekly happy hour events, monthly poker tournaments with prizes including weekend trips to Vegas or Lamborghini car rentals, haircuts, massages and acupuncture in the appropriately named "Zen Room."
"The whole focus of the company is helping other people have fun. And if we're not having fun, I don't see how we can build games that are going to be fun," said Zynga employee Ken Rudin.
Excited about the announcement of the new game, Pincus said he's lookign forward to what the future might hold.
"I want to make games that my family plays and that you one day will play, and that's really what this is about," he said. "We have the opportunity to build the digital skyscrapers. This is like 1910, and we have a chance to build the services that will matter in people's lives in 20 years and that's really, really a heady experience for so many of us."
ABC News' Lauren Effron contributed to this report