I like boxes. Unfortunately, CDs will eventually erode over time. They will do this regardless of how much or how little the disks are read, or how well they're preserved. So if you want to keep your games FOREVER, then you'll probably want to keep making copies of them, and/or keep some disk images as well. Also, someday, we may move away from disks. Currently Blu-Rays can read CDs and DVDs, but it's not unlikely that someday support for all of those formats will be discontinued. Of course at that time you'll also have to worry about whether your game will run at all on a future operating system.
However, with a lot of digital (non-GOG) releases, you're still better off with a disk if the digital version requires activations or somesuch. GoG has a real advantage because of its installers. Even if someday GoG goes out of business, so long as you backed up the installers you can still play the games.
I don't think that you should buy any of those games again unless something goes wrong with your boxed copy, but I also think you should be prepared for the future. It's extremely unlikely that your games are going to last forever, but as long as you keep transferring to the most current format, you should be (relatively) safe.
This is one of the things that I think is unfortunate about computer gaming as an entire system. Unlike, say, a board game or a book, your ability to keep using your games is entirely dependent on how long they remain supported. Unless you feel like keeping all of your old computers in perfect condition, you can't guarantee that you'll be able to pass them on to your grandchildren.