1. Highschool of the Dead + School-Live!; 2. Parasyte; 3. Infinite Stratos; 4. Is It Wrong to Try to Pick Up Girls in a Dungeon?...
Generally speaking, this story will diverge considerably from the original plots, and each story arc is fairly independent. If you come across an anime world you dislike or don't know, you should be able to skip it without much impact, though heroines, skills, or equipment from earlier worlds may show up.
If you're interested, please check out my other book, Monster Girl Benefits.