Within 4 (easy) miles of our house we have, 2 Walmart's, 3 Aldi's, 1 Fresh Thyme, 1 Sam's, 1 Ruler's (think Kroger's alternative to Aldi's), 2 Schnucks's, and 1 Dierberg's (the last 2 are local stores).
So, we look at the weekly sales and figure out what we want that's on sale. DW goes to Ruler's for staples and generic stuff (weekly $5 off $20 coupon).
Examples of sales: Fresh Thyme had NY sirloin roasts for $5.99/lb, and the week before Boneless rib roasts for $7.99/lb. We will buy one, and slice into thick steaks. Aldi's will occasionally have chicken quarters (legs and thighs) for under $1/lb. Bought another turkey at Ruler's for $.69/lb, and a ham for about $1.50/lb.
As mentioned above, pork can also be inexpensive, but you need to check prices and look for deals/sales.
On the flip side, I used to be able buy a whole beef tenderloin at Sam's for about $10/lb (3-4 years ago). Now they are $20/lb.