At opposite ends of Germany there are two cross border railways where tickets for the trains are wonderfully simple - from Gronau (Nordrhein-Westfalen) to Enschede (Netherlands), and from Freilassing (Bayern) to Salzburg (Austria).
At two other borders - Kehl (Baden-Württemberg) to Strasbourg (France), and Forst Lausitz (Brandenburg) to Żary (Poland)