In terms of overall gaming performance, the AMD Ryzen R9 Threadripper 1900X is massively better than the AMD Opteron 6276 when it comes to running the latest games. This also means it will be less likely to bottleneck more powerful GPUs, allowing them to achieve more of their gaming performance potential.

The Ryzen R9 Threadripper was released over three years more recently than the Opteron 6276, and so the Ryzen R9 Threadripper is likely to have far better levels of support, and will be much more optimized and ultimately superior to the Opteron 6276 when running the latest games.

Both CPUs exhibit very powerful performance, so it probably isn't worth upgrading from one to the other, as both are capable of running even the most demanding games at the highest settings (assuming they are accompanied by equivalently powerful GPUs).

The Opteron 6276 has 8 more cores than the Ryzen R9 Threadripper. 16 cores is probably excessive if you mean to just run the latest games, as games are not yet able to harness this many cores. The cores in the Ryzen R9 Threadripper is more than enough for gaming purposes. However, if you intend on running a server with the Opteron 6276, it would seem to be a decent choice.

More important for gaming than the number of cores and threads is the clock rate. Problematically, unless the two CPUs are from the same family, this can only serve as a general guide and nothing like an exact comparison, because the clock cycles per instruction (CPI) will vary so much.

The Ryzen R9 Threadripper and Opteron 6276 are not from the same family of CPUs, so their clock speeds are by no means directly comparable. Bear in mind, then, that while the Ryzen R9 Threadripper has a 1.5 GHz faster frequency, this is not always an indicator that it will be superior in performance, despite frequency being crucial when trying to avoid GPU bottlenecking. In this case, however, the difference is probably a good indicator that the Opteron 6276 is superior.

Aside from the clock rate, the next-most important CPU features for PC game performance are L2 and L3 cache size. Faster than RAM, the more cache available, the more data that can be stored for lightning-fast retrieval. L1 Cache is not usually an issue anymore for gaming, with most high-end CPUs eking out about the same L1 performance, and L2 is more important than L3 - but L3 is still important if you want to reach the highest levels of performance. Bear in mind that although it is better to have a larger cache, the larger it is, the higher the latency, so a balance has to be struck.

The Ryzen R9 Threadripper has a 3096 KB bigger L2 cache than the Opteron 6276, but on the other hand, it is the Opteron 6276 that has a 16368 MB bigger L3 cache than the Ryzen R9 Threadripper. In this case, the L2 size is probably what counts, so the Ryzen R9 Threadripper is likely superior in this area.

The maximum Thermal Design Power is the power in Watts that the CPU will consume in the worst case scenario. The lithography is the semiconductor manufacturing technology being used to create the CPU - the smaller this is, the more transistors that can be fit into the CPU, and the closer the connections. For both the lithography and the TDP, it is the lower the better, because a lower number means a lower amount of power is necessary to run the CPU, and consequently a lower amount of heat is produced.

The Opteron 6276 has a 65 Watt lower Maximum TDP than the Ryzen R9 Threadripper. However, the Ryzen R9 Threadripper was created with a 18 nm smaller manufacturing technology. Overall, by taking both into account, the Opteron 6276 is likely the CPU with the lower heat production and power requirements, by quite a wide margin.