Magnetic phase transitions in metals and alloys continue to offer challenges to theory and experiment. In recent years, the focus has shifted from thermal transitions to quantum phase transitions (QPTs) that occur at zero temperature when external parameters, such as, pressure or chemical composition and magnetic field are varied. Quantum Griffiths phase (QGP) is associated with an infinite-randomness QCP over a wide temperature and field region. Generally QGPs are experimentally observed in heavy fermions (f-electron based) system due to existence of strong disorder. Recently, QGPs have been reported in transition metal system like Ni-V, Cr-V. I will discuss literature results on Griffith phase and my attempts to search for new system to verify QGP and QPT.