Currently the Search Jblizzle stated is only for TFP Experts, Mods, and Admins. Others will currently not see this search, however may or may not in the future. I myself don't use this search very often, as Jason stated it shows every post you've ever made. Kinda clogs up when participating in an active thread. The search I commonly use is below.......
Quick Links > Subscribed Threads
It shows every thread you've subscribed to in order as you mentioned. Often I will subscribe to threads to view without posting in them. These too will show up in this view.