Using space based (HST) and ground based (VLT Survey Telescope - VST) observations, we have undertaken a systematic study of the star formation histories (SFHs) of the Magellanic Clouds, as determined by analysis of resolved stellar populations. I'm presenting here some of the main results and new observations. Concerning the SMC, I will describe the stellar content of six deep HST/ACS fields located in the SMC Bar, in the Wing in the direction of the LMC, and in the outskirts. The recovered SFHs suggests a common low star formation pace until 5-7 Gyr ago, followed by a two-three times higher activity from then on. This is remarkable since at that epoch, dynamical models predict a negligible influence of either the Large Magellanic Cloud or the Milky Way. The age-metallicity relations we infer from our best fitting models are monotonically increasing with time, or constant, with no evidence of dips. To complete this work, we have an ongoing Guaranteed Time Observation program at the VST (PI Ripepi) designed to cover with deep photometry the whole SMC and the Bridge connecting it to the LMC. These CMDs are disclosing for the first time the SFH of the whole SMC over the entire Hubble time, covering a much larger area with considerably better image quality than in previous systematic studies. Concerning the LMC, I will present preliminary results from the Hubble Tarantula Treasury Project (HTTP), a multi-wavelength HST/ACS/WFC3 imaging survey for the entire Tarantula Nebula, aka 30 Doradus, the most active star forming region in the Local Group. This dataset offers unprecedented opportunities to probe the formation of massive stars (~ 300 O-stars) and young stellar clusters as well as their evolution. The resulting maps of the stellar content will provide the basis for investigations of star formation in an environment resembling the extreme conditions found in starburst galaxies and in the early universe.