Spoonbill sandpipers- WWT Slimbridge U.K.
James flamingo- Berlin zoo and one indiviudal at WWT Slimbridge U.K
Black faced Spoonbill- Walsrode Germany
Coral billed ground cuckoo- Walsrode Germany
Giant coua- Walsrode Germany
Madagascan white ibis- Walsrode Germany
Westermann's dwarf cassowary- Walsrode Germany
Helmeted vanga- Walsrode Germany
Madagascan pond heron - Walsrode Germany
Maleo- Bronx zoo U.S.A
Golden necked single wattled cassowary- Landgoed Hoenderdaell Netherlands (I am sure there is probably some kept in asia)
Laysan Albatross- Monterey Bay Aquarium U.S.A
I am not 100% with American or Asian collections so i might be wrong on a few

.... but im sure there are lots more bird species that fit into this category