When we had the shop in Katoomba, Dixit was one of our goto games when introducing people to modern board games. Designed by Jean-Louis Roubira, it was first published in 2008 and won the coveted Spiel des Jahres in 2010. It is quick to learn, can be played in less than 30 minutes and has very broad appeal. It traces it's ancestry to the 19th century parlour game Dictionary, a.k.a. Fictionary (which was the inspiration for Balderdash). However, Dictionary is a word game, while Dixit adds a delightful twist to it's inspiration through the use of quirky illustrated cards as the basis of the game.
The game play is very simple. Everyone has six of these quirky illustrated cards. On your turn you select one of your cards and give everyone a verbal clue relating to the image on the card. Everyone else then selects a card from their hand that they feel matches the clue you have provided. You take all of the cards, shuffle them up and lay them out on the table. Everyone then has to guess which card is yours.
There is some subtlety to the formulation of the verbal clues, as the clue must be crafted so that at least one person, but not everyone guesses your card. Make the clue too easy so that everyone guess your card and you get no points. Make the clue too hard so that no-one guesses your card and you get no points.
You can read more about the game on its Board game Geek Entry.
You can also watch the Tabletop session linked below to see how the game is played.