For fans of Shardlake, some alleged good news. One is supposed to be published about now in the Mother Country. Whilst I disremember the title, it is such that this could be the concluding adventure. Six, I think, is about right for a series.

Another series set in the same general era is by S.J. Parris. The protagonist is a defrocked Italian monk resident in England, and a crony of Sir Philip Sidney. This series has only one drawback for me: except for the first book, the stories are told in the first person 'historic present", rather than in first person past. I found that a bit annoying.

I like the Shardklakes better of the series because of the historic detail, and the feeling of time and place that gives the reader. The Parrises,though, are not far behind.

Another series set in the same Tudor era is by Imogen Robertson. While I don't think the series as compelling as either of the the others mentioned above, it does have dual protagonists, one of whom is a high-born widowed lady. Her growth through each succeeding novel adds to the interest in the series.

Enjoy them all, and do it in order if possible.