These are:

cervical dystonia (spasmodic torticollis) (a neuromuscular disorder involving the head and neck causing painful spasms of muscles of the neck with abnormal positioning of the head).  Botox injections will reduce the spasms of these muscles.
blepharospasm – a situation where there is involuntary spasm of the eyelids or muscles around the eyes. Mild degrees of this affect almost everybody, causing tics or twitching of the muscles near the lower eyelids.  Botox treatments will do pretty well.

hyperhidrosis  An excessive sweating of palms, armpits, and soles of feet. A very embarrassing situation which results in cold wet palms and armpit sweat stains, especially obvious on white shirts.
achalasia of the cardia – a situation where there is failure of the sphincter of the lower esophagus to relax to allow food to pass through to the stomach, causing food to overflow potentially causing flooding of the lungs.
migraine and other headaches, which are thought to be aggravated my spasms or contractions of muscles in the scalp.
 
Other uses of botox commonly seen in other countries but which have not yet been FDA approved are:

pediatric and adult incontinence (possibly due to overactive bladder)
incontinence due to neurogenic bladder (related to spontaneous bladder muscle contractions when the bladder is full)
anal fissure (relaxation of the anal sphincter from the botox injection allows the fissure to heal)
spasms of muscles due to brain problems such as stroke, parkinson’s disease, cerebral palsy and also localised muscle spasms affecting the face, jaw or vocal cords and limbs
Pain of the Temporomandibular joints due to spasm of related muscles
wound healing
excessive production of saliva
diabetic neuropathy.
treatment of chronic headaches and muscle pains
weight loss and recently,

depression  (indirectly, by eliminating frown lines causing the patient to look more cheerful, and thus feel more cheerful)