They are
Mini Display port - This was a complete apple invention which they recently made royalty free
The A5 chip in iDevices - This is basically a chip based on the same instruction set as every other arm cortex a9 based chip. The GPU core is from imagination technologies based on the PowerVR architecture which again is a low power version of their really old Power VR kyro chip that existed on PC.
The third and final thing is aluminium unibody construction for laptop as seen in the macbook pro. The video claims this is really wasteful and expensive and as a result no one else does it. However I'd want to hear the other side of the story on this.
I watched the video and I think he makes some points:
Mini Display port: Shrunk the standard display port for their product line. Its royalty free as they wanted more people to adapt it. So basically something already there and shrunk it. Still might be an invention but the host seemed hesistant to give it.
A5 chip: He says the story is a bit murky but it was just that Apple asked ARM and PowerVR to produce it. They needed a lower power consuming chip. IMO, considering ARM and PowerVR are chip designers, only way Apple could've "invented" it is by teaching chip design companies how to design the chip. So not sure it is an "invention" per se. Just that Apple asked something of companies and they delivered.
Aluminum body: My amateur experience in chasis designs (from college metallurgy class) tells me that casting is the correct process. Consider this you want make a nail. What is better? Casting it or using a chunk of iron (height, width, length of the nail) and then cutting it using advance laser machinery? IMO, there is no other side to the story other than it is cool to have a unibody laptop
(BTW, I remember reading an article where Apple caused a slight slowdown in industries using laser drills. They wanted to purchase every one of them for the holiday season).