Preheat oven to 350°. In a large bowl, combine eggs, cream, sugar and vanilla. Stir in blueberries and baking chips. Stir in bread cubes; let stand until bread is softened, about 15 minutes.
Transfer to a greased 13x9-in. baking dish. Bake, uncovered, until a knife inserted in the center comes out clean, 50-60 minutes. Let stand 5 minutes before serving.
For sauce, place baking chips in a small bowl. In a small saucepan, bring cream just to a boil. Pour over baking chips; whisk until smooth. Serve with bread pudding.