There must have been a huge amount of surplus vehicles, weaponry, supplies and the like after the war, with most of the soldiers who had previously been using it going home, but it that had to go somewhere. What happened to it? Was it melted down, or stored away? What happened to captured enemy vehicles or supplies etc. ?
The answer is it that it ended up in a lot of places. In terms of small arms, huge numbers of them were put into service in the new armed forces for liberated countries. Heavy equipment was, not surprisingly, less common to survive but a number of tanks (the Panzer IV and Stug III being particularly common) were transferred to the liberated states. From there, a great deal of it ended up either being scrapped or further transferred south to the Middle East. I have read that, for example, the Panzer IVs survived in Syria up until quite recently as fixed gun emplacements on the border with Israel, but I couldn't find any recent articles on that subject so I am doubtful they are still there.
What isn't doubtful is that small arms from the war continue to be used throughout the world in conflict zones. For example: http://www.youtube.com/watch?v=w3-tW24u8gc
The use of these transferred weapons, small arms included, basically ceased once the receiving state could either produce their own domestic equipment again (such as with France) or when they received new equipment from either the United States or the USSR (depending which sphere they fell into). So, for example, Romania operated a number of German vehicles both during and after the war, but those were replaced by soviet designs relatively quickly. The same goes for small arms.
In luganville Vanuatu the USA just pushed about a million dollars in trucks, bulldozers, and other equipment in to the ocean. It is an amazing dive site now. They offered to sell it to the French and English for extremely cheap prices, but they knew the USA would leave the equipment anyway, so the us just pushed it into the ocean. Many people believe they should have given the equipment to the locals. There is one big flaw in this thinking though. The locals at that time had no idea how to work the equipment. Another reason is because there was no infrastructure to support the equipment. No gas station, and nowhere to change oil or perform other basic maintenance. http://en.m.wikipedia.org/wiki/Espiritu_Santo