Train Establishment of Appetizing Table Service Act or the Train EATS Act This bill requires Amtrak to provide a range of dining services to passengers on overnight routes.Specifically, Amtrak must make available (1) traditional dining (i.e., table service), to the extent practicable; and (2) an alternative food and beverage service that is more affordable than traditional dining.On each overnight route, Amtrak must offer any traditional dining capacity not otherwise used by first-class or business-class passengers to passengers in coach class for a fee. In addition, Amtrak must ensure that traditional dining on overnight routes includes (1) a healthy meal option, and (2) the option for passengers to preorder meals that satisfy their dietary restrictions.The Department of Transportation must issue any necessary regulations.