Kochen-Specker rules out non-contextual hidden variable theories and Bell's theorem rules out local theories. I thought this was an interesting paper, particularly the authors' conclusions:
Simultaneously testing the Kochen-Specker and Bell theoremsPrevious experiments have demonstrated, separately, the violation of Bell inequalities and KS paradoxes. Bell experiments consist of local measurements on composite systems prepared in quantum entangled states, KS experiments consist of sequential measurements on systems in arbitrary quantum states. Each type of experiments shows a fundamental property of nature: Bell experiments show non-locality, KS experiments show contextuality. Here we have presented the first experiment in which both Bell and the KS theorems are proven simultaneously. Our results show that nature's non-locality is indeed a consequence of of nature's contextuality, and pave the way towards a deeper understanding of quantum theory.