List(Of T) supports sorting through it’s Sort method. When you call Sort it will use the default comparer for the items it contans. So if you have a custom class in there, you need to implement IComparable or IComparable(Of T).
Here is some code that shows how to do this. This code sorts lowest to highest.
Public Function CompareTo(ByVal other As CustomClass) As Integer Implements System.IComparable(Of CustomClass).CompareTo
Dim myscore As Integer = Me.SomeValue
Dim otherscore As Integer = other.SomeValue
If myscore > otherscore Then
Return 1
ElseIf myscore = otherscore Then
Return 0
Else
Return -1
End If
End Function