I am a huge braudel fan, and have been wondering the same thing myself. I can provide for you two items relating to south east Asia that may be of interest to you due to their close relationships with braudel's work.

The first is "The Art of Not Being Governed: an Anarchist History of South East Asia" by James Scott. A very interesting study of how geography influences the development of political life. He draws many explicit parallels with the ways in which braudel uses elevation as a classifier of political autonomy: "hill societies" often have much in common with one another, even if they are far apart.

The second is a two book series called "Strange Parallels", by Victor Lieberman. They are lengthy and somewhat difficult, but he uses an interesting mix of comparative history and political theory to chart the rise and fall of states in south east Asia and in Europe: volume I deals explicitly with SEA, while volume II then brings in an analysis of how geography and state building relate to each other at opposite ends of the Eurasian super-continent. A long view of history for sure, and he also pays explicit homage to braudel for this. Definitely makes you re-evaluate Europe's "uniqueness" in global development.

Anyways, I hope these are helpful. Not quite east Asia (did you mean explicitly China and Japan?), but fascinating nonetheless.