Based on current retail pricing, it will come as no surprise to learn that the Ryzen 5 5600 offers the best value as it can be had for as little as $135, although stock for it seems to be drying up.
Now, looking at the 7600X, it's interesting to see that at $250, it offers the same value as the 7600, ignoring that it doesn't come with a cooler. We do expect the 7600X to rise in price back towards the $300 MSRP now that the 7600 is available.
In terms of value, both slaughter the Core i5-13600K which currently costs $320. You could reduce the cost of the Core i5 build by ~$100 with a cheaper DDR4 B660 board and memory, but even if we take the same 221 fps that would only place it roughly on par with the 7600 in terms of value, and we know from previous testing that the 13600K is 8% slower on average using affordable DDR4 memory. So it would seem AMD has Intel beat on value for the 7600/7600X vs 13600K battle for now.
The Ryzen 7 7700 is interesting because again it's slightly worse value than the 7700X which is currently selling for just $345, but could head back towards the MSRP now that the 7700 is on the market. For those building a new system the 7700X makes more sense than any of the 8-core AM4 options, including the 5800X3D as you're getting slightly better performance at a similar cost per frame, on a newer platform, supporting DDR5 with an upgrade path.
For gamers the 7700 also beats the 13700K in terms of value, offering a similar level of performance at a lower price point. But if productivity is a priority, then ignore that as the 13700K might be the faster option depending on the workload.
The Ryzen 9 7900 is a nice CPU, but it doesn't make much sense for gamers. You're much better off with the single CCD Ryzen 7 parts, and for productivity you might as well get the 7950X, or 13900K, though power usage and thermal issues make the Core i9 a lot less practical as a productivity CPU.