Thanks for all the good data.
There is a web site which is the best available info base on gasturbine engines for military and civil use, you would find the number of compressor and turbine stages there.
The guy who made it (Nat Meier) must have been in the know, he has all the right parameters described and reliably so. I have found it surprisingly reliable and extremely detailed in terms of variants, usage and physical items. Most of the PR
, BPR, TSFC data are also surprisingly good but there are some that are wrong, the CFM56-5C (A343) being one of them, te TSFC should be around 0.59. This site shall be complemented by the ICAO Emission databank for things like static pressure ratio, bypass ratio and static TSFC (you need to calculate it from fuel flow) and the TCDS for physical things of course.
The engine site has not been maintained by the originator, Nat Meier, since some years and It seems it is only available in the google cache now so copy the zip archives as it can soon be gone. The latest engines are not there (from the TXWB) but all before are there and in amazing detail, for the GEnx it is only the first 1B variants as for the T1000.
To take Nats data into excel do it via google calc as copying the http page and pasting in excel does not work well, it pastes into google calc fine and then you can take it to excel (some rows get a tab fault but that is easily visible and corrected). I have it all in excel and it is a tremendous reference.
Here the ICAO data, check the individual sheets to get all the info, most of the data is static sea level info, some GE
and CFM static data is at 800ft (GEs Peebles Ohio test site)