And here is Berlin Tierpark's list, according to ZTL. Both zoos are about evenly split on mammal species (Omaha 22 to Tierpark 21) and reptile species (17 at both), but Omaha wins handily on amphibians (Omaha 8 to Tierpark 3) while Tierpark reigns supreme on birds (Tierpark 50 to Omaha 22). Some notable species from Berlin Tierpark are: margay, yellow-breasted capuchin, bush dog, Venezuelan red howler, vicuna, 2 caracaras, several tanagers, many amazons and macaws, Chilean blue eagle, harpy eagle, and 3 vultures; its herp collection is more generic.
Azara's agouti
White-faced saki
Spectacled Bear (Andean Bear)
Chacoan peccary (Tagua)
Degu (Common Degu)
Yellow-breasted capuchin (Buffy-headed tufted capuchin) (Weeping capuchin)
Patagonian mara (Patagonian cavy) (Mara)
Guanaco
East Bolivian Highland yellow-toothed cavy (Muenster yellow-toothed cavy)
Chacoan mara
Central American margay
Venezuelan red howler
Vicuna
Bush dog (Savannah dog)
Unstriped tamandua (Yellow tamandua) (Long-tailed tamandua)
Maned wolf
Silvery marmoset
Southern three-banded armadillo
Lowland paca
Golden-handed tamarin (Midas tamarin) (Lacepede's tamarin)
Northern Raccoon (Common Raccoon)
Laughing gull
Great green macaw (Buffon's macaw)
Mountain caracara
Black-chested buzzard-eagle (Grey buzzard-eagle) (Chilean blue eagle)
Blue-throated macaw (Wagler's macaw)
Blue-headed macaw (Coulon's macaw)
Northern festive Amazon (Bodin´s amazon)
Rusty-barred owl
Chaco owl
Chilean flamingo
Lesser rhea (Darwin`s rhea)
Green-mantled tanager
Striated caracara (Forster's caracara)
Yellow-faced amazon (Yellow-faced parrot)
Blue-and-yellow macaw (Blue-and-gold macaw)
Golden-headed manakin
Blue-cheeked amazon (Blue-cheeked parrot)
Grey-winged trumpeter (Common trumpeter) (No Subspecific status)
Grey gull
Green-winged macaw (Red-and-green macaw)
Southern screamer (Crested screamer)
Harpy Eagle
Hyacinth macaw
Yellow-billed amazon (Jamaican yellow-billed amazon)
Jandaya parakeet (Yellow-headed conure) (Jendaya conure)
Common burrowing parrot (Lesser patagonian conure)
Lesser yellow-headed vulture (Savanna yellow-headed vulture)
King vulture
Crested oropendola
American flamingo (Caribbean flamingo) (Red flamingo)
Western cattle egret (Buff-backed heron)
Peregrine falcon (No Subspecific status)
Red-legged honeycreeper
Northern shoveler
Southern mealy amazon (Nominate subspecies)
American white pelican
Turkey vulture (No Subspecific status)
Spangled cotinga
Black-necked swan
Glossy ibis
Sunbittern (No Subspecific status)
Northern pintail
Rosy-billed pochard (Rosybill)
Greater Antillean bullfinch
Bay-headed tanager (Green tanager) (No Subspecific status)
Red-crested finch
Red-fronted macaw
Scarlet macaw (Red-and-yellow macaw)
Eastern brown pelican
Paradise tanager (ssp. paradisea)
Golden tegu lizard (Black tegu)
Blue spiny lizard
Colombian rainbow boa
Mata-Mata (Matamata Turtle)
Garden tree boa (Amazon tree boa)
Common spiny-tailed iguana (Black iguana)
Common green iguana (No Subspecific status)
Honduran milksnake
Common northern boa
Red-footed tortoise
Cuban slider (North Antillean slider) (No Subspecific status)
Yellow-footed tortoise
Uracoan rattlesnake
South American rattlesnake
Red-cheeked mud turtle
Northwest Neotropical rattlesnake
Pueblan milk snake
Axolotl
Mission golden-eyed tree frog (Amazon milk frog)
Sabana surinam toad
I don't know much about the zoo's exhibits or layout, so here's just a sampling of relevant photos for mammals and birds:
New World Vultures
Harpy Eagle
Macaws
Flamingos (with camels in the background?)
Howler/Capuchin/Agouti Outdoors and Indoors
Spectacled Bear
Margay (featured alongside non-relevant exhibits)
Chacoan Peccary