In the interest of making as much of a one-stop-shop as possible apart from collectibles, I've compiled all 28 achievements that aren't related to the two big sets of collectibles into one video.
For Around the World in 5 Trampolines (jumps) head to the construction site. The 2nd story of the building where Demogoat and the mattress achievement are obtained has some air vents/fans on the corner near the crates below at street level. Jump onto these fans, activating ragdoll mode before you make contact. This will launch you extremely high (above the skyscraper). Now simply aim your trajectory to bounce off the first trampoline, closest to the crane. From there, aim for the next and so on, finishing up at the trampoline closest to where you spawn when you first start.
This achievement can be seen starting at the 10:11
mark in the video below.