We found the Ritz specials next door to Beachplace Towers to be great, as dgf15215 mentioned. In addition to the hamburger deal, they have a taco and margarita deal on another night (don't remember which night). They had a sandwich board outside on sidewalk showing the special deals.
Another restaurant we particularly enjoyed was 15th Street Fisheries. Seafood was very fresh, located on the intercoastal and had outside dining options available.
I highly recommend the water taxi at least one day while staying at Beachplace Towers. The taxi is a great way to see some beautiful houses, yachts while being entertained by the on-board guides as you cruise. The taxi drops you off at multiple locations along the intercoastal both North and South of Beachplace. The taxi has two drop off spots very close to Las Olas Blvd, which has many restaurant options. 15th Street Fisheries is one of the stops on the water taxi as well. There is a taxi drop off point one block from the resort and you can get an all day ticket for less than $30 from the concierge desk. Much easier than driving, finding parking and paying for parking.