There's also the UFAI-Fermi-paradox: If AI is a significant risk and if intelligent life is common why aren't we all paperclips already? AI doesn't work as a filter because it's the kind of disaster likely to keep spreading and we'd expect to see large parts of the sky going dark as the stars get turned into pictures of smiling faces or computronium.
There's also the anthropic principle. We probably wouldn't be alive to ask the question in a universe where the earth has been turned into a strip-mall for aliens.
Though combining the anthropic principle with the Drake equation gives us another possibility.
Compute the Drake equation for a cone 60 light years thick extending back through time outwards from earth. x billion planets with y civilisations with z probability of producing a UFAI. Which gives you a rough estimate for the chances of someone elses UFAI killing us all within your lifetime.
There's also the UFAI-Fermi-paradox:
This is just the regular Fermi paradox/Great Filter. If AI has any impact, it's that it may make space colonization easier. But what's important for that is that eventually industrial civilizations will develop AI (say in a million years). Whether the ancient aliens would be happy with the civilization that does the colonizing is irrelevant (i.e. UFAI/FAI) to the Filter.
You could also have the endotherm-Fermi-paradox, or the hexapodal-Fermi-paradox, or the Klingon-Great-Filter, but there is little to be gained by slicing up the Filter in that way.
This is the first in a series of posts I am putting together on a personal blog I just started two days ago as a collection of my musings on astrobiology ("The Great A'Tuin" - sorry, I couldn't help it), and will be reposting here. Much has been written here about the Fermi paradox and the 'great filter'. It seems to me that going back to a somewhat more basic level of astronomy and astrobiology is extremely informative to these questions, and so this is what I will be doing. The bloggery is intended for a slightly more general audience than this site (hence much of the content of the introduction) but I think it will be of interest. Many of the points I will be making are ones I have touched on in previous comments here, but hope to explore in more detail.
This post references my first two posts - an introduction, and a discussion of our apparent position in space and time in the universe. The blog posts may be found at:
http://thegreatatuin.blogspot.com/2015/07/whats-all-this-about.html
http://thegreatatuin.blogspot.com/2015/07/space-and-time.htm