I've had my eye on this place since I moved to Cleveland. It's a cute little bakery with a surprising amount of seating room and a lot of metered parking out on the street for easy access.
I ordered a mocha and the dark chocolate & mixed berries crepe. The mocha was good, nice and chocolate-y but sort of lukewarm. They make everything to order, so I was a little surprised. For the crepes, they give you an option for buckwheat or traditional batter--I opted for traditional. I absolutely love crepes but I thought Luna's was just average. The dark chocolate in the crepe solidified quickly, which made for a weird consistency with the mixed berries, which were admittedly good and fresh--none of that compote/frozen fruit nonsense. The crepe itself with kind of hard and not light or fluffy like I was hoping.
They offer pastries, cookies and cakes in their case and an assortment of paninis and other crepes, both savory and sweet. It's a little pricey, and even though I didn't bring my computer, I did notice a lack of outlets. I think that's purposeful on their part--it was busy when I went at 1130am and it'd be impossible to get a table to eat at if everyone was hanging out on their computers.
In a nutshell, average and not anything really special that I'd go out of my way for again.