TITLE: List of finitely presented groups with undecidable word problem
QUESTION [8 upvotes]: Is there any reasonably updated list of (representative) examples of finitely presented groups with undecidable word problem?
By "representative" I mean "avoiding obvious redundancy", i.e. examples different from each other in providing (from some point of view) new insight into the problem.
A brief comment on the ideas and methods used, and even the concrete presentations when possible, would also be of interest.
In case there is not such list, I wonder if it is a suitable big-list for MO.

REPLY [5 votes]: In addition to Miller's book cited above you can look at "Algorithmic problems in varieties" and "Asymptotic invariants, complexity of groups and related problems" for more recent examples. These include  results about  complexity of the word problem. Even more recent results are in papers by Olshanskii and myself (see the arXiv).