To compare word games by pace and age suitability, and see which reward speed versus vocabulary, take a look at the word games at games for children.
Snakes and Ladders is one of the first board games most children learn, and for good reason. The rules could not be simpler: roll the dice, move your counter, climb a ladder if you land at the foot of one and slide back down if you meet a snake. There is no reading and no strategy to master, so even three and four-year-olds can join in and stand a fair chance of winning.
If you like the Genius Square, the same puzzle idea runs through a small family of games. Genius Star adds a bonus mechanic and a different set of pieces, Genius Gems and Genius Connection change the shapes and the goal, and Bee Genius is pitched at younger children who are new to shape puzzles. Each one keeps the roll-and-fill pattern while giving you a fresh challenge.
These games are a good pick if you want screen-free play that travels well and does not need a long rulebook. You can compare the full Genius line-up and read how each version plays at games for children.
Part of what makes it work is the head-to-head option. Two players each take a grid, roll the same starting positions, then race to finish first. A single round takes only a few minutes, which makes it easy to fit in before dinner or on a rainy afternoon. It suits ages six and up, and adults tend to get just as competitive as the children.
To see jigsaws grouped by piece count and theme, from first puzzles for toddlers to harder pieces for adults, take a look at the jigsaw collection at games for children.