Eli's handing out free slices for National Cheesecake DayIf you love cheesecake, Thursday is the day for you! If you love cheesecake, Thursday is the day for you! CHICAGO (WLS) -- If you love cheesecake, Thursday is the day for you! It's National Cheesecake Day and Eli's Cheesecake is celebrating by handing out free slices across Chicago. Today, the Eli's Cheesecake Mobile will make stops at several locations including the Obama Presidential Center.