Cut steak and chicken across the grain into strips about 1/4 inch thick and about 3 inches long. Arrange meat on a platter.
Place vegetables and bread in baskets or dishes.
In a 1- to 1 1/2-quart pan or metal fondue pot over medium heat, melt butter. Add oil, garlic, and anchovies; stir until mixture bubbles. Set pan over a candle or a medium-low alcohol or cannedheat flame. Watch mixture and stir often so garlic doesn't burn; adjust heat as needed.
Use forks or long skewers to spear chicken, beef, shrimp, or vegetables, and swirl through butter mixture to coat; leave in longer to heat slightly, if desired. Transfer food to individual plates or a slice of baguette to eat. Stir butter mixture occasionally with food on fork.