2 finger pull down of the Notification bar.
Brings up all the possible options that are at the top of the notification screen.
Hold down the button on your s-pen and press it to the screen for 1-2 seconds until you hear a click or see the screenshot taken. This is old hat to Note 2 users but I wasnt one of those. Used to have to go through all kinds of hoops to get one on my Galaxy S2.
Hold down the S Spen button and lasso/cut out a section of the screen, then send it to Scrapbook, Picasa, Email, a text message, Dropbox, bluetooth, Facebook, Gmail, Google+, S Note, Sketchbook, or Wifi Direct.
I seem to remember this feature was part of the TV commercial for the Note 1 or Note 2, and was one of the first things I wanted to try with my new Note 3.
Its a little different from the Air Command/Scrap Booker function, that will copy a rectangular section of the screen, even if you draw a circle around something.
Open the camera, turn of the flash by tapping on Settings then the Gear icon, scroll down and set Flash to off. Now tap on the Camera icon, Scroll Down and Turn on Smart Stabilization. Tap on the Back button and you will see the Moon and Star icon in the upper left corner indicating Night Mode is active.