Here you go:
Code:
Public Type STARTUPINFO
    cb As Long
    lpReserved As String
    lpDesktop As String
    lpTitle As String
    dwX As Long
    dwY As Long
    dwXSize As Long
    dwYSize As Long
    dwXCountChars As Long
    dwYCountChars As Long
    dwFillAttribute As Long
    dwFlags As Long
    wShowWindow As Integer
    cbReserved2 As Integer
    lpReserved2 As Long
    hStdInput As Long
    hStdOutput As Long
    hStdError As Long
End Type

Public Type PROCESS_INFORMATION
    hProcess As Long
    hThread As Long
    dwProcessID As Long
    dwThreadID As Long
End Type

Public Declare Function WaitForSingleObject _
 Lib "kernel32" ( _
 ByVal hHandle As Long, _
 ByVal dwMilliseconds As Long) As Long

Public Declare Function CreateProcess _
 Lib "kernel32" Alias "CreateProcessA" ( _
 ByVal lpApplicationName As Long, _
 ByVal lpCommandLine As String, _
 ByVal lpProcessAttributes As Long, _
 ByVal lpThreadAttributes As Long, _
 ByVal bInheritHandles As Long, _
 ByVal dwCreationFlags As Long, _
 ByVal lpEnvironment As Long, _
 ByVal lpCurrentDirectory As Long, _
 lpStartupInfo As STARTUPINFO, _
 lpProcessInformation As PROCESS_INFORMATION) As Long

Public Declare Function CloseHandle _
 Lib "kernel32" ( _
 ByVal hObject As Long) As Long

Public Const NORMAL_PRIORITY_CLASS = &H20&
Public Const INFINITE = -1&
Public Const STARTF_USESHOWWINDOW = &H1

Public Sub ShellAndWait(sCmd As String, Optional WindowStyle As VbAppWinStyle = vbNormalFocus)
    Dim udtStart As STARTUPINFO
    Dim udtProc As PROCESS_INFORMATION
    
    udtStart.cb = Len(udtStart)
    udtStart.dwFlags = STARTF_USESHOWWINDOW
    udtStart.wShowWindow = WindowStyle
    CreateProcess 0&, sCmd, 0&, 0&, 1&, _
     NORMAL_PRIORITY_CLASS, 0&, 0&, udtStart, udtProc
    WaitForSingleObject udtProc.hProcess, INFINITE
    CloseHandle udtProc.hProcess
End Sub
Just call the ShellAndWait sub and pass the command line as the first argument and optionally the state for the window.
Code:
ShellAndWait "Notepad.exe", vbMaximizedFocus
If you want to call a DOS application please do so by calling the COMMAND.COM or CMD.EXE with the /C parameter for the application to "self close".
Code:
Dim sCmd As String

sCmd = Environ("COMSPEC") & " /C "
sCmd = sCmd & "c:\MyBatFile.Bat"
ShellAndWait sCmd, vbHide
Good luck!