When our D was little we did things a bit differently - we’d go to PicNSave (kind of like a cheap Kmart without clothes), give her $20 and have her pick her gifts. She always gravitated towards the art supplies and stationary. And we’d wrap them, one for each night of Hanukkah, she knew what she bought, but she didn’t know which day was what, so still fun.
We’ve never been traditional in any sense of the word.