Cookie Monster easily ticks all those boxes. He eats way too much, way too fast, even though he never complains of being hungry beforehand -- he just needs to eat as many cookies as possible because "they are important" to him.
Binge-eating is usually done in secret, and that shows up quite a bit on Sesame Street, as the majority of Cookie Monster's freak-out scenes are done solo. Notice in the above video that he doesn't dive straight in until the other character leaves the room. That doesn't happen every time, but it happens enough to be considered a symptom.
It's not his fault. He's not just a greedy, gluttonous a*****e who hogs all the food. There are many reasons why Cookie Monster might binge-eat: a chemical imbalance in the brain, genetics, severe emotional or physical trauma. I could definitely see that last one happening after he ate Ernie's X and later had to pass Styrofoam through his poor monster butthole.
Unfortunately, Cookie Monster's condition is worsened by the way the other characters react to his behavior. They either try to take the cookies away from him, even though food restrictions actually promote binge-eating (found at 22:00 in the following video), or they give him cookies as a reward for completing a task successfully (12:00 in the same video):