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:
Note 3 has Sketchbook for Galaxy for free.Here's something I did using it with a 10-minute pencil sketch of my nephew while he was watching tv.
I find the S Pen of the Note 3 to be quite responsive. More sketches to come as I will generally use the Note 3 to sketch on-location.