Some series I like:
Beat 'em up like: Streets of Rage, Yakuza, God of War
FPS like: Insurgency, COD MW, Medal of Honor(2010) & Warfighter, Battlefield 3 & Hardline (nowadays weapon/ rifle not old or futuristic one), F.E.A.R
Openworld like: GTA, Mafia, Saints Row 3 (with crime theme especially)...