FPS Rig (and Gun) is a free maya rig by Mattias Kirsten that includes arms, hands and a gun. Grab it from the bottom of his personal website
Alien FPS Rig
Alien FPS Rig is a free first person rig for Maya based on a sci-fi theme (inspired by Alien). Made by Guillermo Moreno Alfaro.
FPS Rig (AK47)
FPS Rig (AK47) is a free First Person maya rig that includes the hands, camera and gun. Grab the files from this google drive folder by Haydn Cooper
Louise – Facial Rig
Louise is a free high res facial rig for Maya, Unreal and Unity with a complete set of 236 blendshapes
Ystra – Astral Witch
Ystra – Astral Witch is a free Maya rig by Christoph Schoch based on the concept by Alexis Pflaum. Download it HERE
Dana & David Rigs
Dana & David are rigs made by Gabriel Salas to help balance the limited choice in terms of race that animators have when picking a character rig.
AnimProps
AnimProps is a website where 2D and 3D artists can create an account for free to share, sell or purchase artwork. A big resource for animation rigs.
BOTW Link Rig
BOTW Link Rig is a free Maya rig based on the Breath Of The Wild version of Link (similar to the previously posted Zelda Rig). Made by Christoph Schoch.
Agora Studio Rigs
Agora Studio have been creating a bunch of Maya rigs and releasing them for free primarily to be used in the AnimChallenge. Check them out HERE