I consider myself pretty thrifty as well. I plan out my grocery shopping in advance so I can take advantage of coupons and store specials. I shop at the local farmer's market since they tend to have cheaper produce then the stores. I generally drink only water. I've also started eating more vegetarian dishes since I don't have to buy meat that way.
Overall, I haven't been affected by rising food prices much and I'm certainly not starving to death.