Stocking fillers are where the smaller puzzles shine. Self-contained games such as the Genius Square, along with pocket brain teasers, drop neatly into a stocking and give someone a challenge for the quiet bit of the morning. For children, a game matched to their age, from Bee Genius for the little ones to WordSnap XL for older siblings, tends to get more play than yet another plastic toy.

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.

A good travel game earns its place in the bag by being compact and quick. You want something that sets up in seconds, plays in a few minutes and does not rely on a large board or dozens of loose pieces that scatter across a car footwell. Card games and self-contained puzzle games tend to win here, because everything stays in one small box or tin.

For a shortlist of compact games that pack down small and set up fast, browse the travel-friendly games chosen by puzzles and games.

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 puzzle games for adults.

Christmas is when board games and puzzles earn their keep. With the family board games together and a stretch of quiet days, a good game gets everyone off their phones and round the table, from the youngest cousin to the grandparents. The trick is having a mix ready: a quick game for the afternoon lull, a party game for the evening and a puzzle for someone who wants a quiet corner.