Arthurs Pass: 

Up the Waimak to Waimak Falls over Waimak Col and down Rolleston (need ice axe and crampons)

Up the Edwards over Tarn Col and Worsley Pass and down the Hawdon

AP - Lewis Pass

Up the Taramakau, over Harper Pass and out to Lewis Pass via Hope river etc

Lewis Pass:

Up to Lewis Pass tops from Lewis Pass, along to Bras Moneky biv down to Lake Christobel back to Lewis Pass rd via Rough Creek

Up the Nina, over Devilskin Saddle and down the Doubtful