View incremental diffs of my revisions to files using Dropbox

You can use the current provided REST API of Dropbox

There is also DropboxDiff by Victor Shih.

Revisions is an OS X option which has a specialized interface to facilitate browsing revisions.

I found this after I posted the original question, and it does a great job satisfying my requirement of quickly finding items. I wanted to avoid using the Dropbox web interface for that purpose.

No i am not trying to plug the product (come on, it's free!) I'm just writing this to report that I found what I was looking for in this product and that it solves my problem.

It solves my problem by giving me everything I could have wished for. It clearly uses the API which was mentioned in the previously accepted answer, and does all of the heavy lifting for you so that you can take a peek at your dropbox file content history, and then get on with the rest of your life.

The one downside is that I cannot use it from my Windows PC, I have to pull out my Macbook.