I'll just list everything of significance then. You can decide what to go see

.
Key:
* = uncommon
** = only zoo in US
*** = only zoo in world
Scripps Aviary:
Great blue turaco*
Southern bald ibis*
(In separated aviary) sociable weaver**
Arctic aviaries:
Kagu*
Tongan megapode***
Blyth's tragopan** or ***, not sure
Collared imperial pigeon*
Aviary trail:
Red and blue lory**
Collared lory**
Superb bird of paradise*
Raggiana bird of paradise*
Blue crowned hanging parrot*
Parker aviary:
Andean cock of the rock*
(Separated aviary) capuchinbird*
Owens aviary:
Iris lorikeet*
Papuan mountain pigeon*
Thick-billed ground dove*
Sulawesi green imperial pigeon*
Reptile house:
Ethiopian mountain viper**
Common snapping turtle*
Lost forest:
Coconut crab (across from tiger viewing)*
Capuchin babbler (across from gorillas near entrance to aviary)***
Marsh Aviary:
Storm's stork*
Milky stork**
Collared lory**
Canyon aviaries (near python):
Moluccan pitta*
Hooded pitta*
Gorilla glass aviary:
Chestnut-bellied sandgrouse**
Stone partridge**
Children's Zoo:
White bellied tree pangolin** (only one in USA on exhibit)
Guianan cock of the rock** (again, only ones on exhibit)
Common wombat*
Elephant Odyssey:
Peninsular pronghorn*
California condor*
Secretary bird*
Yellow-spotted bush hyrax**
Panda Trek:
Giant panda*
Sichuan takin*
Arctic hoofstock row:
Cuvier's gazelle*
Conrad Prebys Australian Outback:
Tasmanian devils*
Squatter pigeon** I think
Ituri Forest:
African forest buffalo**
Spot-necked otter*
Lake exhibits below Eagle Trail:
Great white pelican*
Anhinga*
Saddlebill stork*
Center street:
African clawless otter*
Andean bear*
Eagle Trail:
Ornate hawk eagle*
Steller's sea eagle*
Asia passage:
Bornean sun bear*
Red cheeked gibbon*
Moving path over field exhibits to Owens Aviary:
Siberian musk deer**
Western tufted deer*