Unless you plan on overclocking, the third-party cooler (Cooler Master Hyper TX3 in tokala's list) is unnecessary. Since the i5-4590 can't be overclocked anyway, there's no good reason to go for it. I could see a case for going with a third-party cooler if you were going for a less expensive overclockable AMD processor (one of the aforementioned FX CPUs, or the Athlon X4 750K, perhaps), and using the overclock to get closer to more expensive Intel processors in performance, but even then it's questionable on a budget.
Swap the i5-4590K for the Athlon X4 750K, overclock the latter a bit, get a socket FM2 motherboard for $10 or so less than the Intel one, and you've saved $149 ($119 CPU + $10 mobo + $20 no third-party cooler), more than the cost of a Windows license. Sure, the Athlon won't be as fast even overclocked, but as you said, you aren't planning to set the world on fire. Then swap the 8 GB of RAM for a single 4 GB stick at $36 - less prestigious name but one that's been around awhile, and easy to upgrade later when needed (and when prices may well be lower - RAM's still about 2.5 times as expensive per GB as when I bought it in 2011). That's $189 saved. Subtract $100 of savings for Windows, and you're at $89 saved, or $558 total cost including Windows. That leaves about $150 for a monitor, which ought to allow for something decent (and the monitor's what you're going to be looking at, so you don't really want to totally cheap out on it).
tokala's configuration would have the edge in, say, Civ5 AI turn times. Graphically, the difference would be less noticeable. And with a higher budget, sure, tokala's configuration is preferable. But it's something to consider for an enjoyable experience that's strictly within your original budget.
It's also worth considering local retailers and non-Newegg ones at times. I was able to buy a Core i5-2500K for $180, about $50 below standard pricing at the time and below standard prices for the inferior i5-2400 as well, by pricematching MicroCenter's price on NCIX. You can't always get that good, but you might be able to save a Jackson or two, or get a slightly better part for the same price as the one you'd originally intended to buy.
Swap the i5-4590K for the Athlon X4 750K, overclock the latter a bit, get a socket FM2 motherboard for $10 or so less than the Intel one, and you've saved $149 ($119 CPU + $10 mobo + $20 no third-party cooler), more than the cost of a Windows license. Sure, the Athlon won't be as fast even overclocked, but as you said, you aren't planning to set the world on fire. Then swap the 8 GB of RAM for a single 4 GB stick at $36 - less prestigious name but one that's been around awhile, and easy to upgrade later when needed (and when prices may well be lower - RAM's still about 2.5 times as expensive per GB as when I bought it in 2011). That's $189 saved. Subtract $100 of savings for Windows, and you're at $89 saved, or $558 total cost including Windows. That leaves about $150 for a monitor, which ought to allow for something decent (and the monitor's what you're going to be looking at, so you don't really want to totally cheap out on it).
tokala's configuration would have the edge in, say, Civ5 AI turn times. Graphically, the difference would be less noticeable. And with a higher budget, sure, tokala's configuration is preferable. But it's something to consider for an enjoyable experience that's strictly within your original budget.
It's also worth considering local retailers and non-Newegg ones at times. I was able to buy a Core i5-2500K for $180, about $50 below standard pricing at the time and below standard prices for the inferior i5-2400 as well, by pricematching MicroCenter's price on NCIX. You can't always get that good, but you might be able to save a Jackson or two, or get a slightly better part for the same price as the one you'd originally intended to buy.