You can find a list of all the 7,000+ rare diseases on the Orphanet website.Fibrodysplasia ossificans progressiva. Prevalence: roughly 1 in 2,000,000. … Ehlers Danlos syndrome. Prevalence: Unknown. … Tyrosinemia type 1. Prevalence: Unknown. … Duchenne muscular dystrophy. … Cystic fibrosis. … NGLY-1 deficiency.