Is there a way to select like in the picture but quickly? and without having to select line by line?
I found a tutorial but it says to select the edges, I would like to select the faces.
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The following method works with e.g. a cylinder like in your question. For more complex shapes with more varying angles between the adjacent faces this might not work (especially the last step Linked Flat Faces).
Select one row of faces by holding Alt and clicking on the vertical edge between two faces.
From the menu bar choose Select > Checker Deselect.
Now that only every second face in the row is selected, choose Select Linked > Linked Flat Faces.
Now every second column of faces is selected. In the bottom left you have an option called Sharpness to which angle adjacent faces should be taken into account, the default 1° should be okay for this task.