Conservation of momentum is probably the biggest one. Many of the attacks that the characters fire should have a recoil sending the much smaller, lighter, attacker hurtling back at hundreds of kilometers per second.

Due to Noethers theorem, we know that every symmetry has a conservation laws and also that if a conservation law is broken that the underlying symmetry must be too.

Conservation of momentum implies that I can also transform from one spacial co-ordinate system to another and the laws of the physics are the same. We can conclude that in the DBZ universe this is not true. i.e. The laws of physics are frame dependent.

We can use Noethers theorem to think about another symmetry. Time translation symmetry. If I reverse the laws of physics and run them backwards do I get consistent results? I think we can conclude no because at various points Shenron is able to introduce discontinuities in the evolution of space time by granting wishes. This symmetry breaking implies that energy is not conserved in the universe.

We can see confirmation of these thoughts by considering the hyperbolic time chamber. Here we're able to see huge difference in the rate of experienced time. This is achieved without the huge gravity wells (gravity is higher in the chamber, but not high enough to give the required slow down) required in general relativity or differences in velocity required by special relativity.

While it difficult to reason that one through in this post, it shows that co-ordinate transforms in DBZ must inherently be much more complicated in the actual world. It appears there is a preferred co-ordinate system, that the passage of time depends on specific co-ordinates, and that the law of physics may change depending on certain values of those co-ordinates.