Made to order wraps are the healthy alternative to fast food.. In Short The Wrap House prepares fresh innovative wraps and teriyaki bowls. Wrap flavors include spinach, wheat, flour or basil tomato and the sheer number of fillings is overwhelming. Choose from turkey meatball, buffalo or baja chicken, shrimp, eggplant, carne asada or any of the other vast menu items. The Wrap House also has a frozen yogurt bar, fruit smoothies and non-fat shakes.