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
that's a "Ch" pronounced as a "K"
Computer skills I should have:
Objective C, C#, Java, MEL. Python, C++, XML, JavaScript, XSLT, HTML, SQL, CSS, FXScript, Clips, SOAR, ActionScript, OpenGL, DirectX
Maya, XSI, Photoshop, AfterEffects, Motion, Illustrator, Flash, Swift3D