This is a list of English-speaking doctors and dentists taken from this
TOPIA Page - click "hospitals" to see the list. The self-evaluated English level of the doctors and staff is also listed on this page. Please make a comment if you have any information about the clinics and hospitals listed here.
A tip: If you have a specific medical condition, it can be helpful to track down the Japanese Association of your condition (via google) and write to them and explain your needs and ask that they recommend a specialist in your area.
For information on restaurants, activity spots, etc. in Tokushima, see this map:
Life in Tokushima