Beat eggs together with milk, sugar and Vanilla extract in shallow bowl until well blended. Place panko in pie pan or shallow dish. Dip each bread slice into egg mixture, thoroughly coating both sides; then coat both sides of bread slices with bread crumbs. Place on large wire rack.
Add butter and oil into 17-1/4 x 11-1/2-inch jellyroll pan. Place pan in 400 degrees F. oven 1 to 2 minutes, or until butter melts. Remove pan from oven.
Place bread slices into pan, in single layer, turning over once to coat both sides of bread slices with butter mixture.
Return to oven and bake 15 minutes. Turn bread slices over and bake 10 minutes longer, or until golden brown.