This toy was knitted using circulars and magic loop, and Turkish Cast-On. This is like Figure 8 cast-on, but much, much easier to remember and to execute. I found the tutorial here. Arms and legs were also knitted in the round with magic loop - there's so little sewing up to do, and the face can be embroidered before stuffing the doll.
It would've been very quick had I not used 2mm needles.... but the tight gauge means that no stuffing shows through.