In no particular order:
1: Landing/Rolling (Rolls are definitely integral, and it's surprising how few people know how to land properly on two feet.)
2: Precision (Whether from two feet standing, one foot standing, two feet running, split foot running, precisions are very important if you ever need to land on anything other than flat ground.)
3: Climb up (Depending on the kind of environment you're in, climb ups are the difference between going EVERYWHERE and going NOWHERE.)
4: Simple vault (This is a skill that may often be overlooked by more experienced practitioners, but it's an incredibly versatile vault. It's the vault most people can get the highest with, it's very safe, and very easy to execute. It's only real downside is its speed, which is mediocre.)
5: Lazy Vault (Simplest vault that allows you to safely pass over obstacles that are not perpendicular to the direction you're facing. Versatile in that it can be executed from a standing position or a sprint, and it's very safe. About as fast as simple vaults.)
Those are probably the movements I would choose if I could only use 5 of them. Not sure if it would be a good idea to swap one of the vaults for the speed vault though, seeing as neither the simple vault nor the lazy vault are particularly fast.