Edinburgh has their Living Links exhibit with mirror enclosures holding Squirrel Monkeys and Capuchins Edinburgh Zoo - Living Links They also have had various mixed Lemur exhibits over the years - at one point the main Lemur enclosure had a mix of species but i believe it's backed to just ring tails again., with the other lemurs being in the monkey house.
Last time I visited, the pygmy marmosets were mixed with golden-headed lion tamarins I think. The Douroucouli were mixed - until the latter species left the collection - with Northern Luzon Cloud Rat.
shaldon shaldon mix white faced saki, golden headed lions tamarind and potoroo and previously red titi and potoroo
Although it is about UK zoos, I think you may be interested in the hamadryas baboon - lion mix exhibit in Beijing Wild Animal Park. It was finally proved to be a poor idea after a bloody war between the alpha male baboon and the male lion...... Now the two species are still kept in the same exhibit, but separated by hot-wires.
To add to CloudedLeopard's examples Akron: Golden Tamarins mixed with fish, stingrays, birds and turtles. Its a really neat little exhibit that mimics a little ecosystem quite nicely. Cleveland: Use to have Francois Langur and Prevost's Squirrels together in the langurs large exhibit which extends from the first to second floor of The RainForest. The langurs were always on the top floor and the squirrels lived in the base of the faux trees that had viewing areas at the bottom. Not sure if they're still together or not.
Bronx Zoo- Geladas with ibexes,rock hyraxes and I believe african waterfowl. Maybe in Jungle World also I recall with the tapirs.
There are Prevost's squirrels across from the orangutans and on the same side as the fish tank and the otters at the upper level of the RainForest, but the langurs don't share with the squirrels anymore. Argh, I forgot about Akron! Columbus Zoo- Lar gibbons mixed with ring-tailed lemurs
Adelaide Zoo (current): Dusky langur with Malayan tapir Melbourne Zoo (formerly): De Brazza's guenon with Western lowland gorilla [UNSUCCESSFUL]
I went to Woburn the other day Bintorong Patas monkey and Barbary Macaques - was interesting to watch the Patas kept theselves to themselves where as the Macaques were all over the place
I have read all these unusual species mixes and believe that the acceptable mixes should be zoogeographically correct with compatible species WITHIN each zoogeographic zone. Deliver the correct message ie neotropical, asia, africa, europe, north america, australia. Avoid the noah's arch fantacy/myth.
Not zoogeographically correct but still intresting : Oliemeulen in the Netherlands has Squirrel monkey's together with Blue and Yellow macaws ( which is zoogeographically correct ) and Lesser flamingos ( not correct ).
Ive often wonder why perhaps a south american monkey exhibit has not been tried before with two or three different species
Parken Zoo, keep Lar gibbons and Oriental small-clawed otters together. I know also Randers rainforest has the same mix. Universeum, keep White tufted-ear marmoset, Pied tamarin, Goeldi's marmoset in their rainforest. They are free range with lot of bird species like Sunbittern, Scarlet ibis and many other species. Kolmården, had too many years ago mix between Lar gibbons and Lowland tapir (the tapir had asset to the gibbon island).
At Antwerp Zoo - Belgium - Squirrel monkey's ( a group of about 16 animals ) live together with Spectacled bear(s).