Coat bread cubes in butter and keep aside. In a bowl, lightly beat eggs; add milk, sugar, vanilla, cinnamon, nutmeg and salt. Stir in bananas.
Pour over bread cubes and stir to coat. Bake, uncovered, at 180°C for 40-45 minutes.
Melt butter in a saucepan. Add sugar and cornstarch to it. Stir in milk and honey. Cook over medium heat until the mixture comes to a full boil. Remove from the heat; stir in the vanilla. Serve warm sauce over warm pudding.