The longest binge on one game and a game that I have/could play over and over again is Borderlands 2. It's a ton of fun and if you are not careful you can be sucked into the game playing for hours.
It's what I like to call a time sink. You start playing telling yourself that "Just one more mission and then I'll do more productive things." Then you find yourself playing for seven hours. It's just so engaging, but at the same time repetitively mindless that you get sucked in so easily.
I've played from early evening to six in the morning. I don't regret it at all. And with Ultimate Vault Hunter mode, their new game plus, I can go back and get a higher level with more legendary equipment. More incentive to play over and over. Also, with so many DLC add ons you want get bored playing through the main quest.
Borderlands is a great first person RPG that has a wicked sense of humor. It always entertains, and writing about it now makes me want to go and play it right now. Matter of fact I will! And you should join me by helping take out these bandit hoards.