I have both type of cases. I love love love my lime green SE case! I like how thin it is, the solid color, and the fact that it comes with a cover for the usb and headphone spots, which also matches the case color. Compared to the CM barely there case, it owns!
The CM case is made of a flexible material and is see-through. It's not as thin as SE's case but maybe that's because it also covers the outer edge of the front face, giving it a sense of better protection. I wouldnt know if it does, it just looks like it offers better protection than the SE case.
Both are finger print prone, but you cant see it as much on the CM cases. Theyre both well made cases but for me I like SE's case better. Their logo is on the side, not as noticible as CM's logo in the back. SE's case is seamless, while there's a line going all around the CM case and that annoys me when I see it at a certain angle under a certain light. The areas with the buttons on the SE cases are not covered, while the CM cases have them covered. Having them covered, it's more difficult to access those buttons but you get used to how hard you have to press if that makes sense. Where the volume buttons are on the CM case you can really see that center line and it just doesnt look pretty. Also, the ring/silent button on the CM case is cut out too big in my opinion....
Maybe I'm being biased here, but before you make the purchase just go to their websites and compare them for yourself.