Togainu no Chi, Imawa no Kuni no Alice (OVA) Recommendations
Similar survival game taken place in long abandoned and seemingly deserted citiy. You fight but not for money, honor or fame. The only drive to keep you from destroying yourself is the will to live for just one day more. Here, neither the strong nor wise survive; only the one who accept change and adapt to it will live for another day of unrest for hope and dreams of freedom have long been abandoned.