Return date of next item due

I have a 24-tab worksheet. Each tab references information about a deliverable to our customer.

Example:
Filename | Due Date | Submission Date
Name1 | 06SEP13 | -
Name2 | 07OCT13 | -
Name3 | 07NOV13 | -

I'd like to have a cell at the top of each of the tabs to tell me when the next due date is. Here's what I've come up with so far, and I'm absolutely positive I'm over-thinking this, but I've hit a roadblock and need some fresh eyes on it:
=ADDRESS(MATCH(TODAY(),$B$4:$B$369,-1),2,4)

The value seems to return the correct cell address, B4. Now, I just need the contents of that address. When I wrap the above in =CELL("contents", <above_formula>), it returns an error.

What am I missing? Is there a shortcut that would make this simpler?

The end result will be that the first tab of the worksheet would reference each tab's "next due date" result of the formula above so that I can report status and project my deliverables.

Thanks in advance from a new user on the forum - hopefully I can pay the help forward.

Pepe Le Mokko,
Thanks - I think that got me a bit closer. Being completely unfamiliar with INDEX, I'm not sure...

However, the function you gave above returns the last deliverable due date, not the first. I think you're headed in the right direction, though...

I am unable to do so quickly. Unfortunately it's for government work and some information cannot be posted.

I was able to copy/paste a portion out of Excel here, which does not include information that would not be allowed.

Your formula returns the "06-Dec-13" value at the top right. It's picking the last date of in column B, when I need it to pick the first date in column B, or more accurately, the first date in column B which comes after today's date.

My formula returns the "B4" value in the top middle. B4 is the cell address of "6-Sep-13" which is the value I'm looking for as the result of the formula.

Next Scheduled Delivery: B4 06-Dec-13
ID Due Date
20_PM_QM_RE_A001_130906 6-Sep-13
20_PM_QM_RE_A001_131007 7-Oct-13
20_PM_QM_RE_A001_131107 7-Nov-13
20_PM_QM_RE_A001_131206 6-Dec-13

Thank you so much! It works!
What does the CTRL-SHIFT-ENTER do?