Bringing official government records of earthquakes, hurricanes, etc. There are two major classes of unpredictable future events: natural and manmade. The first is tricky, because current technological advancement puts us perilously close to the boundaries of Clarke's 3rd Law: any sufficiently advanced technology is likely not to be easily recognizable as such, and anything insufficiently advanced would be likely to just look like someone working in his garage made a breakthrough in some field, and that's pretty cool and all, but it doesn't prove he's from the future. The two obvious candidates for proof are future technology and knowledge of future events.
This is a real issue he can't go back arbitrarily far in time the Temporal Frobulence Theorem shows that it becomes increasingly unsafe the further back you go it's a bit of a stretch even to reach our time! He wants to get the issue of establishing proof of identity over with and out of the way as quickly as possible and move on to more important things, like averting future disasters. (Just as an side note, this is very much on purpose he doesn't want knowledge of the mechanics of time travel to fall into the hands of people who might use it for nefarious purposes, and part of his plan is to actively sabotage scientific research that led to the development of time travel.) The thing he used - let's just call it a "time catapult" - was able to send a small payload back in time, maybe comparable in volume to a phone booth, certainly quite a bit less than the interior of a car.
His device sent him back without coming along with him, so he has no way to demonstrate that he's a time traveler by actually demonstrating time travel. This is actually a pretty tricky question, if we place two restrictions on it: So, he brings along proof, in the form of.? (Yes, this assumes a model in which "paradoxical causality" is not an issue.) The problem is if he goes around saying, "I'm a time traveler from the future," no one's going to believe him.
He has a very important message: is about to happen soon, and he wants to warn us so we can avoid/prevent it. Let's say a time traveler from the year 2100 comes back to the year 2015.
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