If you could, could you expand on the Hikari comment? I always read and heard good things about the brand and their offering in general.
Their fresh frozen foods are good, though frozen does not have the nutritional content of quality prepared dried foods like Bug Bites, Omega One and New Life Spectrum (there are some others, depending where one lives). It is the meal fillers in Hikari compared to whole fish in the others. Specifically with cories, you also want to keep protein low, as this too is problematic for the cory digestion.
That's not the only food I feed my fish (occasionally I throw blanched veggies for the cories and the ottos ) and about 2 or 3 times a week I feed dried tubifex on hoth tanks, everyone seems to love that.
Cories should not be fed veggies. First, they have difficulty digesting these leading to other issues, and no species eats plant or algae. Second, as they don't have teeth, they usually cannot really chew veggies. When you see cories grazing algae mats, it is not the algae they are eating but the microscopic insect/larvae/crustaceans etc they look for.
The #1 food for Corydoras is Fluval Bug Bites, so keep up with those, as their staple food. This is made from soldier fly larvae. Cory stomach contents in their habitats have ben found to contain primarily insects and insect larvae, followed by crustaceans. Worms are rarely eaten, which brings me to the tubifex...don't. First, use fresh frozen (bloodworms, black worms) or live (for those who have this) but not dried or freeze dried. But worms should be no more than once a week, as they are not nutritional or healthy due to the fat.