I think I've seen them on Wayfair. (I've never bought from there, so I can't attest to quality.)

Not a flip lid--fluffy on one side tray on the other, but would work as a tray and storage:
http://www.jenniferdelonge.com/prod/73

There are some on Overstock. They aren't very attractive though, but that is just a function of the design. The top has to fit inside the base when it flips over as a tray, so the top has to be smaller. They look pretty ugly when they are in "regular ottoman" mode. Just get some trays to set on top of a nicely designed ottoman and stash the trays in a closet, behind or under the couch (depending on design & layout), etc. They don't take up much room.

Anyone seen these? I've found plenty of round storage ottomans, but none where the lid flips to a tray. I don't want one where I have to buy a tray or the tray is separate. Style wise would love something like this http://m.grandinroad.com/products/27256?path=~amelia-tufted-storage-ottoman~indoor-furniture~benches-ottomans-and-stools~