Face analysis is a big challenging branch in computer vision and Biometric and there are several datasets related to the face and its challenges like age, orientation, skin color, illumination, pose, expressions, appearance, etc. So, researchers almost using different datasets related to the challenges, the face recognition homepage is a website contain several face datasets which is nice to find and compare datasets and recently published related papers.
Some of the famous datasets are:
The Color FERET Database, USA
Multi-PIE
The Yale Face Database
Cohn-Kanade AU Coded Facial Expression Database
NIST Mugshot Identification Database
The AR Face Database, The Ohio State University, USA
The Sheffield Face Database (previously: The UMIST Face Database)
Georgia Tech Face Database
Labeled Faces in the Wild
Labeled Faces in the Wild-a (LFW-a)
YouTube Faces Database
and so on ...