Games like Crysis very much apply, as the practical technology for animations is the same regardless of genre. I can name many in which the animations don't drag the immersion down. In fact, naming a worse animated contemporary game would actually be a challenge. As I previously mentioned, Bethesda's animations are among the worst in the industry. That's not hyperbole. Anyway, some game where the animations are either acceptable to good, and don't have a negative impact on the game: L4D/L4D2, Witcher 2 (not amazing, but not terrible), H-L 2 (had good animations and that was 2006?), the Mass Effect games, Unreal 3, Borderlands, Dragon Age 2 (worse graphics, less stiff animations), and I would count Crysis as well.
Different games using different engines, that have capabilities in different areas. Yes, Crysis, HL:2, Dragon Age do these things well. But let's be honest here, there are things that they fall down on as well. Bethesda may not have put as much work into the animation system, but they pick up again in so many areas that those other engines are incapable of achieving.
In short, Skyrim's Creation Engine has a completely different set of pros and cons to that of Crysis. To compare them is to compare Chocolate Sponge to Chocolate Eclairs. Both are good and tasty, but they are different in many ways and different people react differently to it.
Now that Skyrim's animations are good, fantastic even, you're willing to condemn them based on every other good-looking game out there. Rather than show praise over major progression and improvement?
It just sounds to me like you have a shallow perception of how games developing works.