Northern Indian Cuisine - Garam Masala Without Cumin
There seem to be more than a few well known curries that use neither garam masala nor cumin - for example, Camellia Panjabi's "50 great curries of india" (an older vintage but good cookbook IMHO) lists a Rogan Josh and a Safed Murgh Korma meeting this constraint.

Also, "Nadan" style south indian beef curries seem to be commonly cumin-less, and they could fit well together with north indian dishes even while not north indian.

Also, while it is a different flavor, Ajowan (or even Thyme) can go great lengths at creating a "balanced" indian flavor profile where nothing seems missing (it is commonly used as one of defining spices in samosas).