I'm going to be honest mate, that's impossible. You can't buy a €500 PC including peripherals with an 8350 in it and a decent videocard for gaming. I just tried to search some components together, with an 8320E, MSI 970 Gaming motherboard, 1TB HDD, 120GB SSD, 8GB RAM, Mugen 4 and 600 Watt power supply it costs €475, and that's without a case or GPU.
Depending on the games you play, you might not need a very beefy GPU, but anything under €100 is 100% not worth it unless you want to buy used components. With your budget I'm afraid you're going to have to move down to an Athlon 860k build on the FM2+ platform.
I'd happily search some components together for you for a build tailored to your budget, but I can imagine you'd be a little disappointed at the spec list. What you want cannot be achieved though, or at least not without sacrificing the SSD, getting a crap motherboard, PSU and using the stock CPU cooler for a while first. That's only going to get more expensive in the long run when it all needs replacing.
Also, little bit of advice on the rest of the components you were eyeing up:
- Get 2x4GB RAM sticks. You can still add 2 more sticks in most motherboards, and they will run in dual channel channel mode which is better.
- Don't get a Seagate drive imo

Pick a WD Caviar Blue. It might be ever so slightly more expensive but it's well worth it reliability-wise.