If you wanted to try knitting lace this is a quick and fairly simple pattern to follow. Something I might actually knit for my neice if she's interested in the finished project. ( Twelve year old diva fashionista that she is I run things past her before casting on. And yes I'm rolling my eyes as I type that.)
This hat pattern is pretty straight forward and basic if you find your other hat dissinteresting. AND it calls for circular needles, as well as double pointed to finish it off. You'd get to use your circular needles, but I don't know if you have doublepointed... I'll assume that your needles listed are in American guage and close enough to those listed for this pattern size wise.
I just did two scarves in entrelac technique. There's an interesting way to learn short rows! And to use up odds and sods project leftovers.
Wish you happy knitting.