Maya

Software Tutorials

Basics

https://www.youtube.com/watch?v=V7p1XROYzY8 - 2015 absolute basics
https://www.youtube.com/channel/UCHmAXsicpLK2EHMZo5_BtDA - maya learning channel

Modelling

https://www.youtube.com/watch?v=Kpu9kOlaz8o - fundamentals - archway

Rigging

https://www.youtube.com/watch?v=MV4XRgmTynY&list=PL8hZ6hQCGHMXKqaX9Og4Ow52jsU_Y5veH - part 1 of maya learning channel series on rigging

MEL Scripting

MEL Scripting

Particles

https://www.youtube.com/watch?v=k4mEBkwpYWU - intro to particles maya 2015

Lighting and Rendering

https://www.youtube.com/watch?v=2Dg9bi9fCe8 - basic lighting
https://www.youtube.com/watch?v=VKmJt3VzrtA - image based lighting
https://www.youtube.com/watch?v=RSfUAsIQLec - cinematic lighting (ambient occlusion)

Advanced Techniques

http://docs.autodesk.com/MAYAUL/2015/ENU/AdvancedTechniques/index.html#!/url=./files/landing_page.htm - ncloth, nparticles, muscle (text with included assets)

Useful Plug-ins and Add-ons

Maya Bonus Tools Expand Maya functionality with tools like: randomize transform, duplicate object over mesh. Full description of features in link.
BZP pro smart skinner
Advanced Animation Rig (free)
iDeform A set of 3 essential tools. iDiplace, iCollide and iSkinDeform