Do polymorphism or conditionals promote better design?

class Animal
{
    public:
       Noise warningNoise();
       Noise pleasureNoise();
    private:
       AnimalType type;
};

Noise Animal::warningNoise()
{
    switch(type)
    {
        case Cat: return Hiss;
        case Dog: return Bark;
    }
}
Noise Animal::pleasureNoise()
{
    switch(type)
    {
        case Cat: return Purr;
        case Dog: return Bark;
    }
}

class Animal
{
    public:
       virtual Noise warningNoise() = 0;
       virtual Noise pleasureNoise() = 0;
};

class Cat: public Animal
{
   // Compiler forces you to define both method.
   // Otherwise you can't have a Cat object

   // All code local to the cat belongs to the cat.

};

void MyProcedure(int p_iCommand, void *p_vParam)
{
   // A LOT OF CODE ???
   // each case has a lot of code, with both similarities
   // and differences, and of course, casting p_vParam
   // into something, depending on hoping no one
   // did a mistake, associating the wrong command with
   // the wrong data type in p_vParam

   switch(p_iCommand)
   {
      case COMMAND_AAA: { /* A LOT OF CODE (see above) */ } break ;
      case COMMAND_BBB: { /* A LOT OF CODE (see above) */ } break ;
      // etc.
      case COMMAND_XXX: { /* A LOT OF CODE (see above) */ } break ;
      case COMMAND_ZZZ: { /* A LOT OF CODE (see above) */ } break ;
      default: { /* call default procedure */} break ;
   }
}

void MyProcedure(int p_iCommand, void *p_vParam)
{
   switch(p_iCommand)
   {
      // Only one case. Isn't it cool?
      case COMMAND:
         {
           Command * c = static_cast<Command *>(p_vParam) ;
           c->process() ;
         }
         break ;
      default: { /* call default procedure */} break ;
   }
}

[+] Command
 |
 +--[+] CommandServer
 |   |
 |   +--[+] CommandServerInitialize
 |   |
 |   +--[+] CommandServerInsert
 |   |
 |   +--[+] CommandServerUpdate
 |   |
 |   +--[+] CommandServerDelete
 |
 +--[+] CommandAction
 |   |
 |   +--[+] CommandActionStart
 |   |
 |   +--[+] CommandActionPause
 |   |
 |   +--[+] CommandActionEnd
 |
 +--[+] CommandMessage

class CommandAction : public Command
{
   // etc.
   virtual void process() // overriding Command::process pure virtual method
   {
      this->processBefore() ;
      this->processWhile() ;
      this->processAfter() ;
   }

   virtual void processBefore() = 0 ; // To be overriden

   virtual void processWhile()
   {
      // Do something common for all CommandAction objects
   }

   virtual void processAfter()  = 0 ; // To be overriden

} ;

class CommandActionStart : public CommandAction
{
   // etc.
   virtual void processBefore()
   {
      // Do something common for all CommandActionStart objects
   }

   virtual void processAfter()
   {
      // Do something common for all CommandActionStart objects
   }
} ;

If (weapon is a rifle) then //Code to attack with rifle else
If (weapon is a plasma gun) //Then code to attack with plasma gun

weapon.attack()

switch(obj.type): {
case 1: cout << "Type 1" << obj.foo <<...; break;
case 2: cout << "Type 2" << ...

cout << object.toString();

interface A{

   int foo();

}

final class B implements A{

   int foo(){ print("B"); }

}

final class C implements A{

   int foo(){ print("C"); }

}

class A{

   int foo(){print("A");}

}

class B extends A{

   int foo(){print("B");}

}

class C extends B{

  int foo(){print("C");}

}

...

class Z extends Y{

   int foo(){print("Z");

}

main(){

   F* f = new Z();
   A* a = f;
   a->foo();
   f->foo();

}

A* a  = new Z;
A  a2 = *a;
a->foo();
a2.foo();