That is a beautiful piece. I think it was classified as a Console. It could be used in dining rooms for china storage in the drawers and a large mirror mounted on the wall above it. Or it could be used behind sofas as a sofa table in large livingrooms as well as along one wall for console storage.
If I may suggest, get some Murphy's Oil Soap and follow the directions and give it a good cleaning inside and out; let it thouroughly dry; then apply Lemon Oil treatment inside and out. The Lemon Oil will rejuvenate the wood and lend a nice smell. If there is a place where the veneer is trying to lift along one edge, get a syringe from the drugstore and some quality wood glue and shoot some glue under the edge. Press down the veneer to push excess glue out; wipe off the excess glue with a damp cloth / paper towel; then put a piece of clear saran wrap over it then use a wood block and a clamp or some weight on the spot. Let it set for the period of time stated by the glue manufacturer and you'll have repaired the veneer. Do any repair work before applying the Lemon Oil treatment.
Don't worry about some scuffed areas and broken off pieces of veneer. That's character and adds to it's beauty. At least in my never humble opinion.
Don't think that veneer automatically means plywood was used as the base structure. Solid wood pieces, edge-glued, were used before plywood.
There may be manufacturing labels on the outside, bottoms of the drawers; on the outside of the drawer's back; or on the outside, bottom of the console's back piece.
