Pour apple cider, orange juice, and lemon juice into a large pot or slow cooker.
Stir in honey until completely dissolved.
Add cinnamon sticks, cloves, and allspice berries. You can tie the cloves and allspice in a cheesecloth bag for easier removal, or strain before serving.
Add orange and apple slices to the pot.
Heat on low for 2 hours on the stovetop or on low setting in a slow cooker, stirring occasionally. Do not let it boil.
Remove whole spices if desired, or leave them in for presentation. Serve warm in mugs with a cinnamon stick for stirring.