i was under the impression that an animator just animates (someone correct me if i'm wrong), so no modelling, texturing, rendering, lighting, rigging, and compositing for you... i don't know if dynamics falls into the area for animators

so i don't know why you'd need zbrush or mudbox when they are sculpting tools
and i don't know what after effects and photoshop would be used for since they are compositing tools if it's 3d animation

i would think you'd want stuff like motion builder, face robot and knowledge over physics and scripting and match moving.

however, i think if you're on your own then you'd need to know something about rendering, rigging, scripting, lighting, and compositing as well as animating.

i dunno... depends on who you have with you to help you out