Blazars (Active Galactic Nuclei with the relativistic jet pointing towards us) are among the most powerful persistent gamma-ray sources in the Universe. Yet the origin and mechanism of their emission remain elusive, despite the large increase of data collected in the last years. Results from Fermi-LAT and atmospheric Cherenkov telescopes are starting to question several aspects of the standard picture. I will discuss some of these issues, and in particular the location of the gamma-ray emission, the FSRQ/BLLac classification, the ultra-fast variability and the hard TeV objects.