Among its many other wonders, you can find a marvellous run of 16th- and 17th-century CSPD on the Internet Archive. But they’re not consistently titled, and there are duplicates of many volumes, so it’s not easy to piece them together. I made a chronological list while I was preparing a sample of State Papers petitions for the Power of Petitioning project, so it may be helpful to share it. (For R users, I found the Internet Archive package and this rOpenSci tutorial very helpful.)
TNA guides, including how to convert reference in the calendars to modern references:
I think there’s a complete run of CSPD from 1547 to 1660, after which I’ve found only a handful of volumes. (There are three volumes of calendars for the interregnum Committee for the Advance of Money, but I don’t know whether any other Committees were calendared separately from the main run of commonwealth CSPD; if so, they’re not included.) There may be more volumes I didn’t find, and if I learn of any more I’ll update the spreadsheet.
The url is for the volume’s main page on the Internet Archive, from where you can access a PDF, OCR’ed text version and other formats.
Several calendars have multiple copies with separate pages; where this is the case they’re listed in the additional_ids column. If you want to try one of these instead of the main listing (the choice was arbitrary; some copies might be better quality than others), just copy and paste the id of your choice into the search box.