As a fan of Calvino I will say that If on a Winter’s Night a Traveller is somewhat more enjoyable after you've read a bunch of other Calvino, since it has a somewhat cheeky, self-referential feel and the more you sympathize with the author the more you may like it. Numbers in the Dark is very good as a place to start.
My impression (possibly mistaken) is that it's a product of its time that was innovative, but hasn't aged that well. More a fun puzzle box than something with emotional weight.
Given the above, what other Calvino work might appeal more to someone like me?