One of my favorite subjects to draw are random yet appealing creatures that sort of pop in my head!
I always try starting out with a simple shape- going from big to small. I decide from that whether it's going to be a giant, or tiny, perhaps cute or menacing. To me, even the most intimidating looks cute, the beauty is in the eye of the beholder after all.
Drawn in Paint Tool SAI, took about 30-40 minutes.