Aspects and Fate points are really the key here.
Just to show how big a bonus of proper Fate point use is: your average die roll is 0, and since you are using so many dice, your standard deviation is small (unlike rolling a single d20).
A +2 skill is already pretty good, and +5 is somewhere around human pinnacle. So using a single Fate point to invoke an aspect is equivalent to a +5 or better in d20.
When you use invoke aspects, it has to be one of your aspects (which are chosen during character creation, and you can think of them as 8ish words/phrases to describe your character, where STRONG is a lot more boring than FLIES LIKE HAN SOLO), one of the opponent's aspects, or a scene aspect. So, for example, you can invoke FLIES LIKE HAN SOLO to add a +2 to a piloting check.
Further, you can create new aspects (eg set something on fire, knocking over an oil drum to create a slick surface), and when you do so, you get to invoke that aspect for free once. You also can only invoke one aspect once for each roll, but you may invoke multiple aspects. But you can see how this very quickly leads to a narrative type of action:
"I attack my opponent with the BROKEN BOTTLE I just made and force him onto the SPILLED OIL." could give you a +4 to attack. Margin of success is added to your damage.
Injuries are creative as well. You get a certain number of soak points (somewhat like hitpoints), and when they are all used up, you are defeated (with whatever consequences the opponent chooses). However, instead of using up soak points, you can also take a consequence (in combat, that is a wound) of certain severity to reduce damage instead. The consequence becomes an aspect that can be targeted by the opponent, and the time it takes to go away depends on the severity of the wound (which, IMO, is one of the most elegant wound systems I've seen so far).
In case you can't tell, I'm very enthusiastic about this game. Unfortunately, the one pbp round that I had the fortune to play in is on hiatus...
Disclaimer: I've only played FATE with the Dresden Files rules, which may differ from SotC.