In my opinion you should get the i3 6100; it can perform as well as the i5 6400/6500 for most games.
Like UnitedNarwhals mentioned, get the i3-6100. Will give you a better performance than that AMD one.
PCPartPicker part list / Price breakdown by merchant
Can you link to that RX 480 8Gb card please thats a great price.
Not sure where from, he had it in his list for that price.
He's kidding himself then
X4 880k is slightly worse than what they have in consoles