Tier auf Tier (also known as Animal Upon Animal) is my go-to game for kids (and traditional adults). Gulo Gulo also has some high ratings. In general, low complexity dexterity based games are a safe bet. Likewise, pattern matching like a simplified variant of Set would also qualify. However, I have no idea about the age of the children involved...
A note also has to be made about being cautious about beliefs about how well us adults understand what kids want/need/like. Don't believe me? Consider the following, why does small human X like the cardboard box better than the gift? Why are the games War & Tic-tac-toe so popular with children/preteens? Why do boy bands exist?
For younger children the simple act of counting is enough of a game (ie., roll & move games like to be stimulating, e.g., Snakes & Ladders, Sorry). For even younger children, identifying and matching colors (e.g., Candy Land). And for even younger children the game of staring at the shiny object.
In other words, children transition through game complexity levels just like they transition through (i.e., outgrow) clothes.
As to the 538 article: This is the product of using a script on a database without really thinking about your data or being familiar with the product. Some of the suggestions are fine. Others though are rather horrible. That's because the games were rated, not based on how well it plays for a particular age, but how well it plays for the rater (who may or may not have thought about how well it plays for all age groups). So we have rating data for games that claim to be for ages 6-adults, but were mainly rated by mid 20s college students. This is compounded by the problems of sample sizes, many of the games on the list have sample sizes around 100, which are not going to be primarily parent ratings, but instead typical users of the website (again 20's males). BGG is great for information, but 538 did a bit of a disservice here (even though their main point is still valid). If you want more useful information something like:
https://www.boardgamegeek.com/geeksearch.php?action=search&objecttype=geeklist&q=children&B1=Go will put you into the right direction.
Or you can just ask unrelated questions on the forum and someone will eventually produce useful information, but perhaps not in the same thread.