The following running shoes are recommended for those who have flat feet or those who are prone to knee, shin, achilles, or heel pain. These shoes are designed to prevent over-rotation or over-pronation of the foot, which in turns assists the biomechanics of your walking.
Stable shoes for the Over Pronating and Flat-Feeted Runners
Running Shoes
Also, if you're also looking to purchase other shoes, the following website has great products.
Search for PGLITES for comfortable and casual shoe wear that looks good, patients with fibromyalgia
have recommended them to me.