Cardiac Magnetic Resonance Fingerprinting (cMRF) has recently been introduced for simultaneous T1 and T2 quantification in the myocardium. One important feature of the MRF framework is the potential to measure multiple tissue properties beyond T1 and T2. Here we propose an approach for simultaneous fat imaging and T1 and T2 quantification based on the cMRF framework with a rosette trajectory. The accuracy in T1 and T2 measurements and the efficacy in water-fat separation were demonstrated in the ISMRM/NIST system phantom and a multi-compartment water/oil phantom, respectively. Preliminary results in the heart and liver in healthy subjects are also shown.