Various computer historians, including Charles Babbage’s son, built pieces of Babbage’s Analytical Engine, but none built the whole thing. Doron Swade and colleagues are planning on finally building the whole thing for the London Science Museum! They have a blog for their project, called Plan 28, where you can read about their progress.
Here is John Graham-Cumming in a TEDx presentation from 2012 talking about some of the history of the Analytical Engine project that Babbage and Ada Lovelace engaged in, in the mid-1800’s, and the announcement that Cumming and others are going to build it. Very exciting! I got the opportunity to see the 2nd replica that Swade and his team built of Babbage’s Difference Engine #2 at the Computer History Museum in Mountain View, CA, back in 2009. I’d love to see this thing go!
Related post: Realizing Babbage