What MIRI really is is the Institute for study of emergent intelligences, whether machine, biological, hybrid or any other kind, but given how Eliezer dislikes the term emergence, I can see why EIRI would be a non-starter. Still, I like the new name better than the old one.
"What exactly do you mean by ‘machine’, such that humans are not machines?" - Eliezer Yudkowsky
http://singularity.org/blog/2013/01/30/we-are-now-the-machine-intelligence-research-institute-miri/
As Risto Saarelma pointed out on IRC, "Volcano Lair Doom Institute" would have been cooler, but this is pretty good too. As the word "Singularity" has pretty much lost its meaning, it's better to have a name that doesn't give a new person all kinds of weird initial associations as their first impression. And "Machine Intelligence Research Institute" is appropriately descriptive while still being general enough.