1. Hate having to click on the woodcutting block every time? Just move forward after your third swing and your character will cut three more blocks of wood. You can continue this as long as you want.
2. Too lazy to chop wood yourself? Use your follower. Just use the follower commands and order them to chop wood for you. They don't even need an axe. They'll just do it. Collect the firewood from them after you're done. Only problem is you have to keep the follower commands up while they're chopping or they'll stop. You can't go and mess around all over town while they're chopping wood.
3. Ever had that darn torch bug that's out of reach? One time I got angry and I literally shouted at it. The torch bug dropped like a rock out of the sky and fell down at my feet. This works with butterflies too, but they split in half and the pieces are hard to find.
4. You'd be amazed how much you can learn about an area just by talking to people. You can learn anything between the civil war all the way down to finding out there's a way to get on top of Dragonsreach tower and collect Chicken Eggs. Talk to everybody about everything. If you aren't learning, you'll definately be laughing at some of the comments.
5. You can over-welcome your stay in Riverwood at Alvor's or Hod's house. Just keep coming back to spend the night. You'll eventually be asked to leave. This can only be avoided if you walk into the house before the door gets locked.
6. Once you get Become Ethereal, start finding high jumps and jumping off of them. The bridge at the College of Winterhold or the back of the college are fun, as well as High Hrothgar.
These are just a few. I'll add some more later when I think of them.