Ryzen 5 1600 vs i5 6500

Solution
Yes, the Ryzen 5 1600 is better overall than the i5 6500.

Both are 14nm lithography, rated at 65W TDP, and have 3.2GHz base clock speeds to 3.6GHz boost clock speeds (though may not be an apples-to-apples comparison due to different IPC). The Ryzen 5 1600 has more cores and threads with multi-threading (at 6 core and 12 threads) versus the i5 6500 with only 4 cores with no hyperthreading. Ryzen 5 1600 is also an unlocked CPU (i.e., overclockable when paired with a B350-chipset or X370-chipset motherboard) versus the i5 6500 which is locked/non-OCable. The Ryzen 5 1600 has a 16MB cache while the i5 6500 only has 6MB. Ryzen 5 1600 comes with a beefier stock CPU cooler while the i5 6500 comes with a mediocre one. Main advantage of...
Yes, the Ryzen 5 1600 is better overall than the i5 6500.

Both are 14nm lithography, rated at 65W TDP, and have 3.2GHz base clock speeds to 3.6GHz boost clock speeds (though may not be an apples-to-apples comparison due to different IPC). The Ryzen 5 1600 has more cores and threads with multi-threading (at 6 core and 12 threads) versus the i5 6500 with only 4 cores with no hyperthreading. Ryzen 5 1600 is also an unlocked CPU (i.e., overclockable when paired with a B350-chipset or X370-chipset motherboard) versus the i5 6500 which is locked/non-OCable. The Ryzen 5 1600 has a 16MB cache while the i5 6500 only has 6MB. Ryzen 5 1600 comes with a beefier stock CPU cooler while the i5 6500 comes with a mediocre one. Main advantage of the i5 6500 is that it has an integrated graphics (in case you don't have a dedicated GPU to run/test your system) compared to the Ryzen 5 1600 which needs a dedicated GPU as it does not have integrated graphics.

From a price/performance standpoint, both CPUs costs the same (retails at ~$200), thus, given the above advantages of the Ryzen 5 1600, it is the better choice.

[video="https://www.youtube.com/watch?v=pV60OkrHNLk"][/video]
 
Solution
Of course it doesn't matter if you don't do anything that needs more than what your i5-6500 does.

More CPU intensive games (depending on graphics card, settings etc), video editing etc can benefit from the R5-1600 but there's a large difference even between those applications.

For example, many video/picture editing programs will still only use a few cores and may do slightly (very slightly) on the i5-6500, or the game may be bottleneck by the GPU.