For the currant punch, rinse an orange with hot water and rub dry. Grate 1 tablespoon of orange peel, squeeze the juice from oranges and tangerine.
Pour apple juice and currant juice into a saucepan, add orange and tangerine juice and spices. Bring to a boil, reduce heat and simmer covered for 10 minutes.
Sweeten with honey to taste. Strain and serve in fireproof glasses or mugs.