I have various fossils collected over the years -- a small section of a dinosaur leg bone given to me by a collector (at least 65 million years old -- the bone, not the collector), trilobites (purchased), a slab containing fish fossils and coprolites (purchased at a National Monument and carefully exposed with a tiny pick by me), clam fossils from about 120 million years ago, and crinoid stems of unknown age.
Finally, my son gave me a small piece of the Sikhote-Alin Meteorite (Iron IIAB) from Russia purchased from www.meteorites-for-sale.com. This Russian meteorite fell in 1947, was quite large, and is described in Wikipedia.
The oldest man-made things I have are some ushabtiu from around 1075bc.