Heat oven to 350°F. Spray 13x9-inch (3-quart) baking dish with baking spray. Set aside.
In 10-inch skillet, sauté apples with sugars until apples are tender and sugar is caramelized. Add vanilla, and stir. Remove from heat.
While apples are cooking, in small bowl, mix butter with cinnamon and ginger.
In large bowl, beat eggs and milk. Beat in Bisquick® mix and butter mixture with whisk. Add in pieces of croissant; allow them to soak while apples cook.
When apples are ready, add apple mixture to soaking croissants. Stir to combine. Pour into baking dish.