Here are some of mine:
Dallas World Aquarium:
Black-And-White Hawk-Eagle
Black-Tailed Trogon
Blue-Banded Toucanet
Golden-Headed Manakin
Handsome Fruiteater
Ivory-Billed Aracari
Lance-Tailed Manakin
Lettered Aracari
Long-Wattled Umbrellabird
Nocturnal Curassow
Papuan Hornbill
Purple-Throated Fruitcrow
Rufous Hornbill
Wire-Tailed Manakin
Dallas Zoo:
Madagascar Pond Heron
Maguari Stork
Honolulu Zoo:
Hawaiian Hawk
Golden White-Eye
Pacific Golden Plover
Short-Eared Owl (Hawaiian subspecies)
Minnesota Zoo:
Pileated Woodpecker
National Aquarium In Baltimore:
Razorbill
San Diego Zoo:
African Darter
African Golden Oriole
Blyth's Tragopan
Chestnut-Backed Scimitar-Babbler
Collared Kingfisher
Fire-Tufted Barbet
Green-Backed Trogon
Orange-Bellied Leafbird
Sociable Weaver
Splendid Sunbird
Tongan Scrubfowl
Yellow-Mantled Widowbird
Sea Life Park Hawaii:
Brown Booby
Great Frigatebird
Red-Footed Booby
Sylvan Heights Bird Park:
Green Pygmy Goose
White-Backed Duck
Taronga Zoo:
Superb Lyrebird
Some of these aren't exactly rare in captivity, but since everyone else is doing it, I'll also list the ones I've seen that are listed as CR or EW:
CR:
Baer's Pochard
Bali Mynah
Blue-Crowned Laughingthrush
Blue-Throated Macaw
California Condor
Edward's Pheasant
Hooded Vulture
Laysan Teal
Negros Bleeding-Heart Dove
Rüppell's Griffon Vulture
Yellow-Crested Cockatoo
EW:
Guam Kingfisher