The main neurodegenerative disorders are Alzheimer's disease, Parkinson's disease, and Amyotrophic Lateral Sclerosis (ALS, known in the USA as Lou Gehrig's disease). These have been investigated in both public and occupational settings. 

Reviews of the research by ICNIRP concluded: 

“The studies investigating the association between low frequency exposure and Alzheimer’s disease are inconsistent. Overall, the evidence for the association between low frequency exposure and Alzheimers disease and ALS is inconclusive.”

The most recent SCHEER review concluded:

“Overall, there is moderate evidence (mainly from human studies) on the association between occupational exposure to ELF-EMF and ALS, weak evidence for the association of occupational ELF-EMF exposure with Alzheimer’s disease, and dementia, but only uncertain to weak evidence for residential exposure and these neurodegenerative diseases. No significant association can be established between EMF exposure and Parkinson's or multiple sclerosis disease.”
 
Research into neurodegenerative disorders continues. In the UK a large cohort (group) of electricity workers have been examined over decades. This study concluded:

“There is no convincing evidence that UK electricity generation and transmission workers have suffered increased risks from neurodegenerative diseases as a consequence of exposure to magnetic fields.”