Analogue of "most recent" for events in the future

"Soonest" seems short and to the point.

The phrase "most imminent" might work. The word "imminent" is defined as "likely to occur at any moment, impending" at dictionary.com.

Another possibility is "least distant."

"Impending" means "coming up soon". I don't think it particularly implies that the events are listed in chronological order. But then, "Most Recent" doesn't necessarily mean listed in order either, it just means that the events listed are all things that happened in the past but not too long ago. If, for example, a teacher asked "Name the three most recent presidents of the United States" and the student answered "Bill Clinton and the two George Bushes", I don't think the answer would be marked wrong because they weren't in order.

I am presuming that you're looking for wording for a heading, based on your comment to Mark Beadles. Near-term means in the very near future. I have seen "Near-Term Events" as a heading in a newsletter. (To me, though, it sounds like someone was trying a little too hard to avoid saying "Upcoming Events.")

Timeline or timeline of future events (so you start from today, not back in the 1800s) suggests a listing of events in chronological order. (My Quicken software calls the list of bills coming due a Timeline.)

Forthcoming and approaching are synonyms for upcoming. Or there is the shorter coming as in "Coming Attractions."