Alright, I'll try to answer as best as I can:
SSD - Otherwise known as Solid State Drive. It is basically the new form of drive. In short, compared to other common forms of storing data: optical drives were made by a stylus burning the disk through a monochromatic ray of X wavelength (the shorter the wavelength the higher capacity of the disk). Magnetic drives rotate and access information stored through magnetism. SSD has nothing of that, it uses some kind of chips and memory to store data persistently (I'm not pretty sure how these work exactly though). The thing is, these disks make no noise since they don't rotate like magnetic disks, and they work a lot faster than any other consumer form of storage.
The case - That case definitely looks like a gamer one. It is a full tower - I wouldn't be worried if I were you; there are tons of other cases out there if that doesn't convince you however.
The cooler - Intel's processors are famous for two things: For being really nice, and for bringing terrible coolers together with them. If you are getting a processor with a high TDP (A core i7k is a good example) I suggest buying a good cooler for the processor and motherboard, otherwise it'll just get fried like a potato. Cooler Master and Antec are good firms for that.
Software - Games are not really daily life. Hardcore gaming such as Crysis 3 at ultra settings is one way of stressing your hardware to its limits. If you were only to search the web, you wouldn't need any specific cooler aside from the default one. But then again you wouldn't need a 300€ Core I7 either.
EDIT:
I'd suggest just getting an overall cheaper PC. You are not going to squeeze all the potential out of that, as many more with super beasts pc. I mean, I enjoy a game at high or high-very high settings, even at medium-high. Ultra is just for the enthusiasts and barely improves the texture quality - it just tweaks some pixel shading, and handle illumination more carefully. All that at a cost of another 15 fps less.
For gaming, just gaming (no enthusiast nerding) I'd rather recommend something around this:
- Core i5 3570. More than enough to handle anything you can throw at it. Unless you mount 5 virtual machines and run a Metro 2033 test on each simultaneously while encrypting files to 256k and predicting next week's climate on your local townshall.
-An AsRock motherboard is pretty good, as Leshma said. Get one of those between 70-100€ with a couple of USB 3.0 and PCI 3.0.
- 8 GB RAM. Not really necessary, but to avoid a future upgrade. It is nowadays near to becoming the standarised RAM value.
- The graphic card you posted is really nice. You won't have any problems with that. I say go with that one.
- The case must be a full tower, so you don't have to worry about size as you said earlier. There are tons of them out there, look for a quality one like Antec, Cooler Master, Thermaltake etc.
- Get an SSD so you don't need to upgrade later on. If you can't afford one, make sure the magnetic disk is 7200 rpm though.
- PSUs are important stuff. If you don't know much about them or how they work, make sure they have some of those 80 plus bronze or silver ratings. Generally ensures reliability.
- Don't forget the dvd reader or blu ray if you are willing to waste more money, people tend to, and it comes in handy!!
Overall it shouldn't get above 800€
