I finally figured it out.
A few pages ago I mentioned that I had issues with the Gallery, Flipboard and Currents (among many other things). I knew it was not a problem with any particular mod. I thought it was a software issue as this had never happen to me with other ROMs. As the issue became intolerable I decided to install stock JB, yet, I still had the same exact issues. So either it was a bug with JB or a hardware issue.
Since only a few persons reported issues, I figured it was a hardware problem: corrupted internal memory.
However, it is not possible to successfully format the internal memory using JB, so my solution was to downgrade to GB. When I did, Android immediately told me that my internal memory was damaged, I formatted it (warning: backup everything) and then I installed Chamaleon and everything is working perfectly.