The MAGIC (Muse gAlaxy Groups In Cosmos) survey, a 100h MUSE-GTO program, was built to improve our understanding of the impact of environment on galaxy evolution, taking advantage of the large MUSE FoV that matches well the size of groups at intermediate redshift. It targets 14 massive groups identified in the COSMOS field at z=0.3-0.8 that have both HST images and multi-wavelength coverage necessary to infer galaxy properties. MAGIC sample contains 1400+ galaxies with secure spectroscopic redshifts, spread in the targeted structures and in their foreground and background. It probes galaxies spatially-resolved properties such as morphology and kinematics down to low stellar mass dwarf galaxies, as well as the intra-group medium. I will show that the MAGIC sample (Epinat+24) has a high completeness at inter-z, that galaxies cover a variety of environments from voids to clusters, and that clear trends with environment are seen at these redshifts. I will also highlight some unexpected giant nebulae we found in massive groups related to various processes such as tidal interactions, AGN feedback, shocks, or ram pressure stripping at z=0.7 (Epinat+18, Boselli+19, Epinat+24). Our results regarding the evolution of scaling relations with environment will also be shown, including the Tully-Fisher (Abril-Melgarejo+19, Mercier+22) and the Fall (Mercier+23) relations that provide clues about the interplay between dark and baryonic matter, as well as the angular momentum build-up.