to DWT, fellow Long Islander!
There are no restaurants in the parks that serve a sit-down breakfast that is not a character meal. Closest thing is breakfast at the Rainforest Cafe at the gates to Animal Kingdom.
Several resorts have sit-down breakfasts (or buffets) that do not have characters - Boma (at Animal Kingdom Lodge), Spoodles (at Boardwalk), Concourse Steakhouse (at Contemporary), Kona Cafe (at Polynesian) to name a few.
There are counter service restaurants at the parks that serve breakfast foods.
Check out Restaurant Dining Menus from Walt Disney World to see what fits your tastes & budgets best!