Carissa Knits: Preemie Hats for Charity - my favorite baby hat to knit. Good for newborns and the pattern is very easily adaptable. I cast on 80 stitches and used the Flakey Baby Sock pattern from Jujube and Lolo.
Free Knitting Pattern for Itty Bitty Bear Cub Baby Hat - These easy bear cub hats come in two sizes originally for preemies but I'm sure you could adapt for larger sizes. Designed by Carolyn Ingram. Pictured project by jooney