There are 3 ways to do this, screen resolution window, run in Compatibility Mode, and a .bat file.
Step 1: Screen Resolution Window
Now just run starcraft and it might work. If it doesn't try the next solution.
Step 2: Compatibility Mode Part 1
Now click on the Compatibility tab.
Step 3: Compatibility Mode Part 2
If this doesn't work you might want to uncheck the first box. You might want to try many different combinations.
If this doesn't work, try the last solution.
Step 4: .BAT solution
Now copy this code into it:
taskkill /f /IM explorer.exe
And save it as Starcraft.bat. Make sure not to put starcraft.bat.txt. Now double click on the .bat file.
AFTER YOU QUIT, THERE WILL BE NO DESKTOP OR TASKBAR. Simply use Ctrl+Alt+Delete to get the taskmananger and click New Task. Now put in explorer.exe. Everything should be normal.