Hi, I have made kitchen cabinets, wardrobes and shelving units out of Birch ply with a 'polished' edge. I had some french polished once, and have also tried danish oil. I always use a water based floor sealer/varnish now which I find by far the best allround solution.
It is hard wearing, very quick to apply and gives a nice flat finish. Takes 2-3 coats.