The media most commonly used are:
BIRM, which gives good removal at a relatively low cost. Generally
suited to waters that would be considered hard in nature, its performance
is adversely affected by the presence of chlorine, organic contaminants
and some chemical treatments. Period backwashing is required.
Birm spec sheet 
MANGANESE GREENSAND, generally only used in industry for iron
and manganese removal, as it requires chemical regeneration (with
Potassium Permanganate) to restore its activity.
Manganese Greensand spec sheet 
MTM generally only used in industry for iron and manganese removal,
as it requires chemical regeneration (with Potassium Permanganate)
to restore its activity.
MTM spec sheet 