I assume anything that is vegan is usually gluten free?
Please note that I eat meat, so I've not had anything vegan from these places.
North Star Cafe is really good, they have a few dishes that can be ordered 'meat and dairy free' http://www.thenorthstarcafe.com/
I think the Surly Girl Places often have veggie dishes. Try Surly Girl or Betty's.
http://www.bettyscolumbus.com/
http://www.surlygirlsaloon.com/
I've heard good stuff about MaMa MiMi's (take and bake pizza), they do a gluten free option on Thursday's (just heard it on the radio). http://www.mamamimis.com/
Out of that list earlier, places I like. Shish Kebab, Ted's, The Refectory, Bone Fish, Cap City, First Watch. Only 'local' place is Shis Kebab and The Refectory. I just imagine you'd have better local with non-chain places.