Binocular rivalry in animals?
Yes! Binocular rivalry has been studied in monkeys (Logothetis &amp; Schall, 1990; Lehky &amp; Maunsell, 1996)
and extensively in cats (Fries, Roelfsema, Engel, König, &amp; Singer, 1997; Sengpiel, Blakemore, &amp; Harrad, 1995; Sengpiel, Blakemore, Kind, &amp; Harrad, 1994; Sengpiel, Bonhoeffer, Freeman, &amp; Blakemore, 2001; Varela &amp; Singer, 1987; Moore, Spear, Kim, &amp; Xue, 1992; Tong, Guido, Tumosa, Spear, &amp; Heidenreich, 1992),  to say the least. This is all the further I got into a literature search today, but I'm sure there's much more out there.



References
- Fries, P., Roelfsema, P. R., Engel, A. K., König, P., &amp; Singer, W. (1997). Synchronization of oscillatory responses in visual cortex correlates with perception in interocular rivalry. Proceedings of the National Academy of Sciences, 94(23), 12699–12704. Retrieved from http://www.pnas.org/content/94/23/12699.full.
- Lehky, S. R., &amp; Maunsell, J. H. (1996). No binocular rivalry in the LGN of alert macaque monkeys. Vision Research, 36(9), 1225–1234. Retrieved from ScienceDirect.
- Logothetis, N. K., &amp; Schall, J. D. (1990). Binocular motion rivalry in macaque monkeys: Eye dominance and tracking eye movements. Vision Research, 30(10), 1409–1419. Retrieved from http://www.psy.vanderbilt.edu/faculty/schall/pdfs/binmoriv.pdf.
- Moore, R. J., Spear, P. D., Kim, C. B., &amp; Xue, J. T. (1992). Binocular processing in the cat's dorsal lateral geniculate nucleus III. Spatial frequency, orientation, and direction sensitivity of nondominant-eye influences. Experimental Brain Research, 89(3), 588–598.
- Sengpiel, F., Blakemore, C., &amp; Harrad, R. (1995). Interocular suppression in the primary visual cortex: A possible neural basis of binocular rivalry. Vision Research, 35(2), 179–195. Retrieved from ScienceDirect.
- Sengpiel, F., Blakemore, C., Kind, P. C., &amp; Harrad, R. (1994). Interocular suppression in the visual cortex of strabismic cats. The Journal of Neuroscience, 14(11), 6855–6871. Retrieved from http://www.jneurosci.org/content/14/11/6855.full.pdf.
- Sengpiel, F., Bonhoeffer, T., Freeman, T. C., &amp; Blakemore, C. (2001). On the relationship between interocular suppression in the primary visual cortex and binocular rivalry. Brain and Mind, 2(1), 39–54.
- Tong, L., Guido, W., Tumosa, N., Spear, P. D., &amp; Heidenreich, S. (1992). Binocular interactions in the cat's dorsal lateral geniculate nucleus, II: Effects on dominant-eye spatial-frequency and contrast processing. Visual Neuroscience, 8(06), 557–566.
- Varela, F. J., &amp; Singer, W. (1987). Neuronal dynamics in the visual corticothalamic pathway revealed through binocular rivalry. Experimental Brain Research, 66(1), 10–20.