I think you should do a bit of reading yourself. Your local laws set the rules. But any "local" laws that I know give you very, very little actual rights. Most of the rights that you get come from a license that you receive. The only rights that the law gives you for example in the USA: "If the seller gives you the right to install software on your computer, then you also have the right to copy it into memory to run it". Note the _if_. You may not have the right to install on your computer. And "if you have the right to install the software on your computer, then you have the right to make a backup". Again, the "if".
I'm so glad you decided to use the US as an example here.
Title 17 section 117 (part (a)(1) specifically) is worded quite broadly and gives you the right to make any copies as long as it's "an essential step in the utilization of the computer program in conjunction with a machine". Not anywhere in the text is a limit of one copy mentioned. Software requires installation to a hard drive or it won't run? Then that's an essential step and would be covered. Software needs to copy itself into RAM to run? Also an essential step. As much as I sometimes think Congress is stupid, by wording it vaguely and not specifying that it only applies to copies in RAM, they made it so it could be applied in this manner.
And excuse me, but I haven't run into any DRM that attempts to prevent backups. Take an eBook with DRM, copy it onto a CD, delete the original, copy the backup back to your computer, and it works. You mention broadcasts: No DRM. You mention copying music onto an iPod: Today, no DRM. Before: DRM allowed it.
You mean other than the DRM on DVDs/Blu-Ray which was explicitly introduced to prevent copying?