Because you like Satine in Moulin Rouge
After alien Haruko rides in on her Vespa, giant robots spouting from Naota Nandaba's forehead soon become the least of his worries. See them in FLCL.
For Celty Sturluson, it's rather upsetting to be the only headless girl in a city filled with full-bodied humans. See them in Durarara!!.
Living with a curse, Kyo Sohma is sick of being treated like garbage his whole life. See them in Fruits Basket.
Everything is handed to Sarah Cameron on a silver platter. The problem is that she doesn't want any of it. See them in Outer Banks.
After Rintarou Okabe develops the Phone Microwave, some of his fantasies start to seem uncomfortably real. See them in Steins;Gate.
An alien, a time-traveler, and an esper are following Haruhi Suzumiya, who – unknown to herself – is a near-omnipotent reality warper. See them in The Melancholy of Haruhi Suzumiya.
JJ Mayfair is a loyal friend, but reckless behavior and a drug habit make relationships rocky. See them in Outer Banks.