Pitch Pine (Pinus rigida), White Pine, Cedar of Lebanon (var. stenocoma), Bald Cypress, or Dawn Redwood.

Some of the fastest growing trees for me have been Larix (Larch). European and Japanese are both fast growing and have nice fall color. They're also deciduous, which can be a benefit during winter when you may want the sun to come through.

i dont understand if you want to grow them in the shade ... or for them to make shade ...

not much will grow with vigor.. in shade ...

i dont understand why you think we might know whats available in cleveland.. though maybe you might get lucky with a world wide answer to a local question ...

you might get further.. visiting those places and making some lists of plants they offer.. for us to comment on ...

ken

I think the request is for a shade tree that is a conifer, so it grows in the sun. In Cleveland, most of the conifers that grow well don't really lend themselves to be shade trees, particularly at a young age. Most hold their lower branches and look awkward if limbed up. Bald cypress and dawn redwood would be the closest, but they are deciduous. Eastern white pine is a solid choice for the region.

Thanks everyone...excluding ken

Seems Ken was just pointing out that most conifers (but not all) are essentially best in full sun. No harm in that, is there?

Of all the suggestions, I think white pine is the best. Just be aware-a potentially huge-growing tree and I have to be completely honest-I love white pines but they will shed a branch or three in storms. Just plan accordingly....like don't send all your kids out to stand under the tree during an ice storm! Or do.....as the case may be.