Dixit variations to increase replay value?
Yes! You simply have to fix rules about the sentence you want to use when it's your turn to play. For example: you must say a movie title, or lyrics from a song, or you can only make a grimace of some sort, or just a sound, and so on.

We've tried something else that completely changes the game: first, the other players give you a card of their choosing, and then you choose a title for your card. Note that it's still your card that must be guessed, but knowing what cards will be in the game, you can choose a sentence differently. This works well when all the players know all the cards and know exactly what words they have to use when playing a given card.