Daz 3D – A 3D morphing, posing, animation and rendering suite, normally retailing at $249 but is now free to download
Pencil 2D – An animation software for vector and bitmap graphics. It is free, multi-platform and open source
Synfig Studio – A free open-source 2D animation software
After Effects is an adobe product and is a very popular motion graphics and visual effects programs. Useful for editing and adding post-effects to animations.
Toon Boom Animation is the leading supplier of animation software and storyboard software for animation studios and media publishers.
Adobe Animate allows you to design interactive animations with cutting-edge drawing tools and publish them to multiple platforms.
Blender is a free open source 3D modeling, animation, video editing & compositing software. Like Maya but FREE!
3ds Max provides a comprehensive 3D modeling, animation, rendering, and compositing solution for games, film, and motion graphics artists
Autodesk Maya is a popular 3D computer animation software with powerful modelling, rendering, simulation, texturing and animation tools for VFX artists, modellers and animators