Light: An example of the problems with the particle theory is that when you fire photons at a diffraction grating, instead of passing straight through or getting blocked, they fan out and form an interference pattern...not explained if they're particles. An example of the problems with the wave theory is that you can get wavelike interference patterns when you allow only one photon to pass through a diffraction grating at a time. This works only if you don't try to figure out exactly where the photon passes through. Really weird. What works in the end is a 'wave function' that really just indicates energy and likely locations to find a particle (if you were to look for a particle-like quality). Won't get into that much more.
Space Shuttle: Produces thrust by firing particles out the end. With atmosphere behind it, there is resistance. The pressure in the combustion chamber must exceed one atmosphere just to start firing stuff out...it then increases to some number much bigger than one atm.