The other cheese I have shown is my homemade vegan parmesan. It's delicious and adds great flavor to most any savory dish. I use this a lot. While I cannot post the recipe for the Extra-Sharp White Cheddar due to copyright laws, I would suggest you purchase the cookbook for yourself. You can find it on amazon for a decent price here. While I can't give you that recipe, I can give you the one for my homemade vegan parmesan.
H.A. Larson's Homemade Vegan Parmesan
In a food processor, add the following ingredients:
1 c. cashews (I prefer cashews, but you can use any nut or seed you like.)
2-3 T. nutritional yeast
1-2 T. flax seed meal (or whole flax seeds)
1 t. salt
1 t. granulated garlic
1 t. granulated onion
Whiz until completely mixed and has the consistency of sand. I store in the refrigerator because nut oils can go rancid if not eaten quickly, but if you go through it as quickly as I do, you can store in the cupboard.