This vine came up in one of my boxes. I know it's not climbing hydrangea, wisteria or trumpet vine. The leaves are not opposite the way honeysuckle is, the back side of the leaves are a bit more shiny than the top. Closer to the dirt the stem is somewhat woody. Any suggestions? I have a roof garden in NYC and this is the first year it's been here.

American Bittersweet. Note that Oriental Bittersweet, the invasive vine that has great looking berries, has more rounded leaves.
http://www.carolinanature.com/...