I'll admit that this might fall prey to it appealing to a niche interest, but I'm thinking of submitting an anomalous object, the training berimbau. Basic concept is that, when played, the instrument imparts knowledge to the player on how to better work the instrument and those people who play a game similarly find themselves with the knowledge (if not necessarily the physical skill) of how to do the various maneuvers, with more advanced moves being suggested as the player becomes more skilled.
Initial side effects discovered are that if a game lasts longer than 92 minutes, a glow starts to form which is seen by outside observers but not those involved in the game. After approximately 5 minutes, the glow intensifies, and then disappears, along with everyone involved in the game, leaving the berimbau lying on the floor.
Longterm side effects are found to include an inability to remember the names of other participants apart from their nicknames and a tendency toward mild rebellion against authority. Neither effect was noticed in the initial acquiring and testing, but would be noted in a later section.
Part of the catch is trying to figure out why the Foundation would preserve it instead of destroying it or refusing to use it. One possibility is simple curiosity. Another is that they find the side effect of increased physical fitness through vigorous exercise is proving beneficial to the health of their researchers and security personnel who participate. Lastly, I considered having it be mildly indestructible and/or tends to displace to the next nearest berimbau if severely damaged or not played within a given segment of time.
*wry grin* My biggest problem, as always, is getting all of this committed to words in an entry format. As you can see in the sandbox above, I'm hitting some writer's block. However, I would be happy to get any feedback on concept.