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.
It is worth thinking about the setting too. Games with a drawstring bag or a tin survive being thrown in a rucksack better than a large flat box. For a caravan or a beach hut with limited space, pick a few small games rather than one big one, so you can match the game to the mood without taking up a whole shelf.
Think about space and time too. A large jigsaw needs a table or board where it can stay out for days, which is not always practical. Puzzles can be a calming, screen-free way to spend a wet afternoon, and working on one together is a quiet way for a family to sit down side by side without a fixed finish time.
The Happy Puzzle Company trick to a family game night that does not fall apart is picking games that work across ages. Younger children lose interest when a game runs too long, and older players switch off when the rules are too thin. A mix of one quick game, one party game and one slightly longer game usually keeps everyone at the table without anyone getting bored or overwhelmed.
For gift ideas sorted by age band, with the number of players and rough playing time listed for each, browse the games-by-age pages at outdoor garden games.
From about six upwards, children can handle puzzles with a bit more thinking. The Genius Square and Genius Star ask them to roll dice and fit shapes into a grid, which keeps them busy without needing anyone to read a long rulebook. Games like these also work solo, which is useful for a quiet half-hour or a long car journey.