I would consider that listing VERY generous in its estimation of what would do OK in 3 or less hours of sun. You can certainly get away with most of the greens (lettuce arugula, spinach, etc.) peas and a lot of the root crops. The problem with many root crops is that they do not do well in containers unless a good sized one with adequate depth.

I would skip pretty much all of the fruits and most of the herbs. These need sun to thrive and certainly to produce fruit. Ditto things like cauliflower, broccoli, potatoes, yams. Just not happy in much less than full sun and not the easiest crops for containers either.

btw, ALL plants serve a purpose! They may not necessarily be edible to you but they all support some form of life or contribute to the environment in some way. And a whole lot of common flowers are completely edible. And can be grown easily in containers and in only part sun.

Here is a link that might be useful: edible flower listing

if you live in a hotter climate, then some things actually do better with some shade. I would try some herbs for sure. I have had really good luck with parsley and cutting celery in quite a bit of shade. But if you have them in pots, why not give it a shot? the worst thing that will happen is you'll see they're not doing well and you can move them to a sunnier spot. If you want some color and didn't care so much about purpose, that sounds like a great place for a few pots of coleus, maybe mixed in with some dusty miller and some purple queen and variegated spider plants. We do pots like that each spring and they are getting more popular every year because they are filling a need for people who have a porch like mine with not too much sun and wanting some pretty...