Not sure if I got the question correctly - same general direction but would Alexandra Palace count? You can go via both Welwyn (west) and Hertford (diverge east) and still end up at Stevenage.
But neither leave in opposite directions.Catford (and C. Bridge) to London.
Lancaster to Leeds via Preston (with a change) or via Wennington.
Also with a change, York to Bridlington via Hull or Seamer.