For the 1999 Stanley Kubrick film of the same name.

To see what other movies are grabbing attention: https://forum.pbase.com/viewtopic.php?f=16&t=49042&sid=58600ccff194c0423841d0ae5514a2a6

The dove's eyes are not really closed, but not really open - the nictitating membrane is briefly covering the eye. This is done for various reasons, often moisten the eyelid, sometimes to protect from damage, but the bird still sees.