Dieffenbachia (also known as dumb cane, in some circles) is a well-known poisonous indoor plant- it's recommended to keep them away from young children, too.
As we live in an open plan house, which is not mine, so not modifiable, I have to be extremely careful with house plants. One I found, which looks really good (especially after I cleaned the leaves with an oily cloth- the nursery here has a water supply with something of a salt load) is the Metallic Palm (Chamaedorea metallica). It's a relative of the common parlour palm, and as far as I could find in my readings, not dangerous for birds.
