What James Bond movie opens with a construction-site chase based on parkour an extreme sport in which you jump vault and climb over obstacles as quickly can?

The James Bond movie that opens with a construction-site chase based on parkour is Casino Royale (2006).

The opening sequence features Daniel Craig's Bond pursuing a terrorist through a construction site in Madagascar. The chase scene is very much inspired by parkour, showcasing impressive acrobatic feats and daring jumps.