Gokunama says: An English teacher in Japan, so lots of irregular recurring events, odd todos that I'd forget to do as they're usually not due soon, and notes and lists that I'd lose were they on paper. How'd I manage without these apps I wonder at times.
Pocket Informant Great monthview with timebars that makes seeing my upcoming schedule easy to see and know which lessons I've still got to schedule. I don't have enough todos that I'd open a todo app everyday, so this is ideal, events and todos all in the same view. Sync to both Gcal and Toodledo has been reliable. Updated regularly with ever better features. The single app I depend on everyday.
Outliner Outlines, lists, attached notes, and sync. I share a few of my lists with my wife. It makes it easier to manage groceries, camping lists, movies I want to see, etc.
Instaviz Mindmap and flowchart. Drawing the nodes is a definite learning curve, but it rearranges your chart or mindmap beautifully after you've added a new node or branch. It helps me visualize complex problems, and get my head around them.
The screenshots don't do it much justice, cause it's capable of much larger and better-looking charts.
Instapaper Download articles for later reference, also I often send articles there that would require too much zooming and panning to read on the internet site.