Mine just turned 6 weeks and her "thing" is to try and eat BEFORE she wakes up. Its so funny! She will start turning her head back and forth desperately looking for the nipple and grunting, then she will let out one little wail, then keep rooting back and forth, then another wail, and finally the wails speed up until she is all out crying, and then she FINALLY opens her eyes and calms down before nursing. Sometimes she will accidentally latch onto her own fist before realizing that there is no food coming out.
The other "thing" that her dad started is to blow on her face and instead of getting mad she smiles at him. Of course when I do it she just gets an annoyed look on her face. haha