expecting EOF, found 'showOptions'

There are a couple problems here. EOF means "End Of File". Not sure why it was looking for end of file, but what solves this... Instead of

showOptions : boolean = false;

you need to declare that this is a variable, or var. so you would type :

var showOptions : boolean = false;

Another thing wrong with your script, you have IF statements with the wrong "=" sign. When you want to declare something is true or false, you do this = true, or that = false. But if you want to find out if something is equal to something, you use ==, a double equal sign which means "is equal to." so instead of

if(showOptions = true)

you would want

if(showOptions == true)

you could also use

if(showOptions)

or if not equal, you could use a "!" exclamation point in front for "not" like so:

if(!showOptions)

so if(showOptions) is equivalent to if(showOptions == true), or if(showOptions.Equals(true))

and vice versa. if(!showOptions) is equivalent to if(showOptions == false) or if(showOptions.Equals(false))

here is your script with these fixes.

 #pragma strict
 
 var showOptions : boolean = false;
 
 function OnGUI () 
 {
     if (GUI.Button (Rect (10,500,150,70), "Multiplayer")) 
     {
         Application.LoadLevel(1);
     }
     if (GUI.Button (Rect (10,610,150,70), "Quit")) 
     {
         Application.Quit();
     }
     if (GUI.Button (Rect (10,720,150,70), "Options")) 
     {
         if (!showOptions) 
         { 
            showOptions = true;
         }
         else if (showOptions) 
         {
            showOptions = false;
         }
     }
     if (showOptions)
     {
         //START THE OPTIONS PAGE
            GUI.Box (Rect (100,10,200,1000), "Graphics Resolution");
     
          if (GUI.Button (Rect (100,40,80,20), "Fastest")) 
          {
            QualitySettings.currentLevel = QualityLevel.Fastest;
          }
          if (GUI.Button (Rect (100,70,80,20), "Fast")) 
          {
             QualitySettings.currentLevel = QualityLevel.Fast;
          }
         if (GUI.Button (Rect (100,100,80,20), "Simple")) 
         {
            QualitySettings.currentLevel = QualityLevel.Simple;
         }
         if (GUI.Button (Rect (100,130,80,20), "Good")) 
         {
            QualitySettings.currentLevel = QualityLevel.Good;
         }
         if (GUI.Button (Rect (100,160,80,20), "Beautiful")) 
         {
            QualitySettings.currentLevel = QualityLevel.Beautiful;
         }
         if (GUI.Button (Rect (100,190,80,20), "Fantastic")) 
         {
            QualitySettings.currentLevel = QualityLevel.Fantastic;
         }
     }
 }