>>884086The OEG only closed a line via Neckarhausen that went through the Neckar bend, the rerouting you mentioned, and a freight line from Schriesheim to Heidelberg (that was even standard gauge).
As for other meter gauge lines, around Ludwigshafen there were two lines with steam trains that however both closed their service in Ludwigshafen in the 1930s.
Heidelbergs tram had a couple of interurban lines through the Altstadt to Neckergemünd (closed 1962), from Leimen to Wiesloch (1973) and from Eppelheim to Schwetzingen (1974, pic related).
Another tram ran from Schwetzingen to Ketsch, operated indepentantly from Heidelbergs network and also closed in the 1930s.