Lately KE has been giving out a little drawstring backpack with a sticker book and a small airplane-shaped doodlepro tablet, even in coach. We fly ORD-ICN, so that may not be system-wide.
At this point, I think my son has a least a half-dozen of them. When he was an infant, he got a baseball-sized plush airplane (cartoonish, obviously, but clearly a 747 and in livery). It's one of those ones that has a pull string that makes it vibrate. Not sure if that was what they gave out to all kids at the time, or if they still have something different they give to very small kids.