George Washington never slept here, but the staff at the Cosmopolitan swear that Abraham Lincoln did, back when the building was Hotel Girard. Built in the 1840s, it’s always been a hotel of some sort or another, and the Lilliputian dimensions of some of the cheaper rooms reflect how much smaller people were back then. Still, it’s often a great value, with simple but comfortable furnishings (think Ikea) and a crack housekeeping staff that keep everything extremely tidy (no fraying carpets or telltale signs of the last guest here).