Can someone recognize this FPS from a sceenshot

There's really nothing more to it than practice unfortunately. I've been playing PC shooters since the original Doom and thought I would never get into console shooters, but after playing a bit of CoD4, I started getting into it and after a year or so of playing, I felt as in control playing with a controller as I did with the keyboard / mouse combo.

One thing though, you will never be as accurate using a controller, it's just impossible. Whereas using a keyboard and mouse in a shooter could be described as "point and click", with a controller, I've found that it's more like sweeping towards the target and picking the right moment to press fire in that sweep.

It sounds kinda strange, but it can be 90% as effective as keyboard / mouse control once you get used to it.

It makes aiming a bit harder as more things are squished into the same screen size, but you get the advantage of being able to see more. Generally you want to be able to see more so long as it doesn't have too much of an impact on your aiming/movement. It is up to you to decide what the best balance is for you. In Unreal Tournament 2004 I know some people played with the FOV higher than I did, but anything over 100 degrees for me became harder to aim and more confusing to sense what directions things were in, so I stuck with that.