I think we already do this to some extent in most jurisdictions
Not to my knowledge. (Though sound recordings tended to be treated unusually for a while) And not in the US anyway, which is what I'm most concerned with, being a USian.
Here I do disagree, for the simple reason that as someone trying to run multiple small businesses, overhead is the #1 enemy, and registration of routine practices is a particularly wasteful form of overhead. We don't all have accountants, lawyers or admin staff; for some of us, any time taken to deal with the paperwork is time directly taken away from the handful of people doing actual creative work, and if we're developing work for others then presumably that overhead roughly doubles because there's going to have to be some sort of assignment executed around the time we get paid as well for any such system to work.
Well for most businesses, they simply won't care, and neither will their clients. Automatically granting copyrights results in the ridiculous situation of granting copyrights even to individual Slashdot posts, not to mention many emails, text messages, and other ephemera that do not deserve copyrights because of the simple fact that copyrights were not necessary in order to cause those works to be created and published. A registration system is the best way of separating the wheat from the chaff. If an author wants a copyright enough to timely file for it, it likely was an incentive for him to create and publish the work. If he doesn't seek one, it's safe to assume that he didn't care about copyright, that it wasn't an incentive for him, and therefore shouldn't be granted because it would be unnecessary.
I'm not interested in creating paperwork for paperwork's sake, but an opt-in registration system is the best method I know of for reducing the number of copyrights granted to only those which need to be granted. The actual registration can be quite simple, around the burden of filling out a change of address form; likewise there ought to be a fee, but only enough of a token one to get authors to seriously decide whether they want a copyright or not, as opposed to applying whether they really care or not.
The additional benefit to a registration system is the same as with our existing registration systems for land, and for certain movable property, such as cars: to identify individual items, and to identify the people who claim them, so that in the event of a dispute or a desired business transaction or if the item and the claimant are separated, they can be found.
Copyright incurs costs on the public that ultimately grants them and permit them to exist. We have copyrights to serve the public interest, and if this means that the authors and publishers who enjoy great benefits from the gift of copyright which they have been granted have to do a little paperwork, forgive me if I'm not sympathetic.
The catch here is that there are plenty of other reasons the holder might fail to act. I'm not against the idea of a renewable right in all cases, but the burden of enforcing copyright can already be prohibitive for a small business with limited legal resources. The last thing they need is for a manager who also has statutory obligations relating to everything from business registration and rent payments through to filing tax statements and signing client contracts to find they've lost all rights to their only product because of a paperwork screw-up while they were off sick or simply because they didn't understand the rules (which my accountants and lawyers tell me happens all the time for small businesses when it comes to other legal/tax regs, not least because the way the rules are written is itself not always clear).
Well, we had this in the US for nearly 200 years and it always worked fine. Most copyright holders didn't ever renew, but the sky didn't fall down. It's because only a handful of copyrights have value lasting beyond a short period. I have no problem with the registration process being made as easy as possible while still requiring the author to make a real decision as to whether or not to get a copyright. At that point, all they need to do is to leave themselves a note in the calendar. Patents require regular paperwork to keep, and registered trademarks do too. Every year I have to pay my bar license fee to keep practicing law. It's not rocket science.