I've gotten the Note 3 about a week ago and I'm generally impressed with the hardware and software improvements after owning the first two Galaxy Notes before. I bought them because I love using the Wacom digitizer (S Pen) for note taking and sketching.
like previous threads for the Note 2 and Note 8, I've posted some samples of drawing with Sketchbook Pro, Adobe Photoshop Touch and Sketchbook Ink. You can check them out: