For a gaming computer of any kind, Intel is better than AMD for the processor, but also more expensive. If you can, go Intel. AMD is more home-entertainment oriented, i.e. for watching movies or just general use. Intel is faster in almost any benchmark test you throw at it. Period. And yes, a dedicated graphics card IS better, but NOT necessary for Minecraft. The biggest factor for FPS in Minecraft is the RAM, and 6GB is plenty to run at a high render distance and full settings, even with an HD texturepack if you use one.
Having said all that, I can't say exactly which of those two is a better choice. Yes, the processor in the first option is AMD. But it is a very high-end AMD processor, and the Intel one in the 2nd option is a more mid-range processor. So I'd say to make your choice based on the RAM, graphics, and other features like screen size and Hard Drive space etc. Out of the two you provided, I would go with the 1st one personally, but there are MANY better options out there.
If you would like, I could look for a few and send you some good options? Let me know.