I tried Trello a few weeks ago, and although I love its interface, I just can't find a use for it. I already use Omnifocus for keeping track of lists of things that I have to get done. I use Google Docs for spreadsheets, and SimpleNote w/ Notational Velocity for simple text documents. How is everyone else using Trello?
I used it for an open-ended project/event where soemtimes the tasks became mini-projects in their own right. That's it's power - you can make a task a checklist of sub-tasks very easily without "promoting" it or dealing with a tree interface.
Also the uploads and notes are very easy to absorb and view. Delegation also looks great... though I haven't had a need to use or see how it integrates with email.
I used it for trip planning, meeting planning and personal checklists. However since it's hosted and it's unclear what the data security is like, I don't use it for work related stuff.
Mostly, it's just very very easy to start using and easy on the eyes. I'm drawn to finding uses for it, though I keep wanting calendar/scheduling support (which would make it more of a full-on process/group ware)