Cash Cow Franchise: Being an independent company specializing in high-budget animated films and hounded by unpleaseable stockholders, DWA has to develop every successful property into one. For instance the Shrek series has made over $2 Billion from the four movies alone (and that's not counting merchandising), while Kung Fu Panda, Madagascar, and How to Train Your Dragon are becoming the company's new bedrock ones. When an animated film under-performs then it's cause for major concern and it makes front page headlines, whereas if the same thing happens to Disney Animation, Pixar, or Blue Sky (who are all owned by larger companies) then it's not treated as nearly that big of a deal.
Old Shame: After Shrek became a hit, Dreamworks more or less apologized for their 2D films and have buried them in their history. For the CGI, their short-lived prime-time sitcom Father of the Pride has basically vanished from the face of the earth.
Start My Own: Jeff Katzenberg started up the studio after Disney repeatedly rejected his push for more adult-friendly content, specifically the infamous "Black Friday" version of Toy Story.
John Kricfalusi was nearly hired to work for them, but after meeting the executives, who wanted him to conform to the studio's style, he backed out. Kricfalusi highlighted this event in his blog.
There are dozens of whole films that were never made. These include Punk Farmnote based on a children's book and Truckersnote based on a children's trilogy written by Terry Pratchett.
In the mid-2000s, they came this close to creating a property based on Miss Chevious, a character from an extremely obscure 80s black-and-white comic (Tales From The Aniverse). Given DreamWorks' muscle, it could easily have lifted a 6-issue furry comic from the 80s to prominence, but apparently someone high up the ladder didn't understand the treatment written by the comic's creator.
Japanese media giant SoftBank had plans to purchase DreamWorks Animation in 2014, but for whatever reason the deal fell through, instead investing in Legendary Pictures, which ironically had another ex-Walt Disney Studios chairman, Dick Cook, on their board.