Large Switch statements: Bad OOP

switch (eFoo)
{
case Foo.This:
  eatThis();
  break;
case Foo.That:
  eatThat();
  break;
}

switch (eFoo)
{
case Foo.This:
  drinkThis();
  break;
case Foo.That:
  drinkThat();
  break;
}

IAbstract
{
  void eat();
  void drink();
}

class This : IAbstract
{
  void eat() { ... }
  void drink() { ... }
}

class That : IAbstract
{
  void eat() { ... }
  void drink() { ... }
}