Gillian Willis provided the following list of wood that can be used safely for bird perches. All branches should be throughly cleaned before putting it in with a bird.

Safe branches for birds include the following (there are other safe woods, but these are the most commonly used for perches) :

DO NOT use apricot, peach, prune or nectarine.

These trees all belong to the Prunus species and like cherry, contain cyanogenic glycosides which can release cyanide if ingested.