A lesser version of the Crisis Crossover, but bigger than a regular Crossover, is the Bat Family Crossover, which typically occurs around a group of titles that are related by the heroes appearing in them or the location in which they take place. It's named for its repeated use by the group of superheroes around Gotham City, since so much happens in Gotham that affects everyone in the city, but has limited, if any effect on The DCU, with Batman usually ordering all of the other heroes to stay out. Maybe Superman will show up for a issue or two, but only because, well, he's Superman.