WordNet (r) 3.0 (2006):

genetic disease
    n 1: a disease or disorder that is inherited genetically [syn:
         genetic disease, genetic disorder, genetic
         abnormality, genetic defect, congenital disease,
         inherited disease, inherited disorder, hereditary
         disease, hereditary condition]

Moby Thesaurus II by Grady Ward, 1.0:

71 Moby Thesaurus words for "genetic disease":
   abnormality, acute disease, affection, affliction, ailment,
   allergic disease, allergy, atrophy, bacterial disease,
   birth defect, blight, cardiovascular disease, chronic disease,
   circulatory disease, complaint, complication, condition,
   congenital defect, defect, deficiency disease, deformity,
   degenerative disease, disability, disease, disorder, distemper,
   endemic, endemic disease, endocrine disease, epidemic disease,
   functional disease, fungus disease, gastrointestinal disease,
   handicap, hereditary disease, iatrogenic disease, illness,
   indisposition, infectious disease, infirmity, malady, malaise,
   morbidity, morbus, muscular disease, neurological disease,
   nutritional disease, occupational disease, organic disease,
   pandemic disease, pathological condition, pathology, plant disease,
   protozoan disease, psychosomatic disease, respiratory disease,
   rockiness, secondary disease, seediness, sickishness, sickness,
   signs, symptomatology, symptomology, symptoms, syndrome, the pip,
   urogenital disease, virus disease, wasting disease, worm disease