Is there any disease in adult human, other-than cancer, which-is resulted from mutation?
Before answering your question, an important note. Not all neoplastic growth is malignant. A mutation may result in a benign growth, which is an outcome different from cancer. Not all of these change to cancers. Moreover, almost all genetic diseases may arise de novo as a germline mutation, and this mutation may be caused due to the environmental mutagen, and hence will be a non-neoplastic outcome of environmental mutation. The list of such genetic diseases is impossible to replicate here. 

Assuming you are asking non-malignant diseases involving somatic (acquired) mutation as a pathogenetic event, here's a subset. 

Some diseases with proven somatic mutation are:

Neurofibromatosis 1 &amp; 2
McCune-Albright
Paroxysmal Nocturnal Hemoglobinuria
Incontinentia Pigmenti  

For more details, have a look at this paper here.
Erickson RP. Somatic gene mutation and human disease other than cancer. Mutation Research/Reviews in Mutation Research. 2003 Mar 31;543(2):125-36.