What kinds of games do you play?
Some games are graphics limited like fast action shooters.
Others are cpu core speed limited like strategy, sims, and mmo.
Multiplayer tends to like many threads.
What is your graphics card?
That is what is most important for fast action games.
Sounds like you have the itch to upgrade.
Perhaps there is another upgrade option for you than cpu.
If your games are cpu centric, I see little real boost from a ryzen upgrade today.
The big value of ryzen is the many cheap threads you get.
You now have 8 threads. Do you really need more?
Perhaps yes for batch apps. But not so much for games.
Multiplayer games with many participants is one case where many threads is very good.
To see how the number of treads impacts your performance, take one away and see if it makes a noticeable difference.
You can do this in the windows msconfig boot advanced options option.
You will need to reboot for the change to take effect. Set the number of threads to less than you have.
This will tell you how sensitive your games are to the benefits of many threads.
Most other games depend on the performance of the single master thread.
Have you overclocked your 6700K?
As of 12/04/2016
What percent can get an overclock at a somewhat sane 1.4v Vcore.
I7-6700K
4.9 5%
4.8 21%
4.7 64%
4.6 96%
Current intel 9th gen K suffix processors will generally do 5.0. on all cores.
Ryzen does not overclock well; I might think more like 4.5.
Upcoming intel 10th gen and ryzen 4th gen can be expected to do better, but it will be an incremental jump.
If you wait for the next best thing, you are going to wait forever.
And, when you do get it, you may have buyer's remorse because something better is coming.
Can't win.
Buy what you need when you need it.
If you have the itch to spend now, consider a great monitor.
Keep your old as a side monitor which is wonderful for desktop work.
If you do not already have a ssd,at least for windows, that would be at the top of my upgrade list.
It makes everything you do quicker.
Is your case adequate?
Is it getting stake?
Cases last a long time, and we may get tired of them.