One of the learning challenges I'm participating in is with Kat at Kat's Eye View and currently we're focused on the process of elimination. In other words, framing or editing a photo to get rid of the extraneous stuff so you can focus on the story you're trying to tell. Here's a few examples of Elimination from my photo archives (not necessarily from my 365 project).
I thought I wanted the context of the rusty gauge thingy, but it's really kind of a boring shot - the closeup is much more interesting.
I framed this rusty old car to eliminate most of the car and just focus on the grille, then came in even closer for around the headlight for an abstract shot.
I love the simplicity of the framing here - there was a big planter to the side and plants in front to work around, but the result looks kinda cool! (It's San Juan Capistrano)
Here's one where I resorted to the magic of Photoshop (Elements actually) to remove that distracting light post. Much better, don't you think? This is a hotel on Tenerife, Canary Islands.
I find that I pretty naturally frame and reframe in the camera, trying to get the best angle or light but sometimes I'm carried away about the subject and don't notice the background - or it's immovable like the light post! This was a good reminder exercise to keep me focused on the "why" of my photos - what's the story I want to tell?
You can see even more great examples of photographic Elimination at Kat's blog and flickr group.