What software was used to create the LEGO Movie?
The Lego Movie Complete B-ROLL (2014) footage briefly shows that the animator is using Autodesk Softimage 2012 (at about 8:57) to move the limbs of a digital minifigure. 



10 minutes in to the video we can see an animator going through frame-by-frame a partially rendered draft of a scene from the movie. The animator has the ability to draw and possibly annotate on each frame. It's not clear what software this is, it may have been created in-house by the production company.



At 11:15 an employee at what appears to be the LEGO Denmark office shows Phil Lord (co-director of the movie) a minifig from what appears to be a different piece of software used for modelling/animation. 



At 12:46 we can see a very short demonstration of LEGO Digital Designer. This software was created before the movie, specifically  for designing LEGO models, it is also free and can be downloaded from the LEGO website.