Southern Rhodesia. Legislative Council.
Debates in the Legislative Council
Library has: [1914-23] Not complete.
Hoover Library Stacks
Items must be requested in advance and viewed on-site.
Call No. G.D. RHODESIA, SOUTHERN
https://searchworks.stanford.edu/view/398305

Rhodesia and Nyasaland. Federal Assembly.
Debates ....
Salisbury.
Hoover Library has: 1-20, 1954-63//
Items must be requested in advance and viewed on-site.
Call No. GD. RHODESIA .NYASALAND FED
https://searchworks.stanford.edu/view/398298

Southern Rhodesia. Parliament. Legislative Assembly.
Parliamentary debates
Hoover Library has: 61-76, 1965-70//
Hoover Call No. G.D. RHODESIA
https://searchworks.stanford.edu/view/398362

Southern Rhodesia. Parliament. House of Assembly.
Parliamentary debates - House of Assembly
Library has: 1966-1979
Hoover Library Stacks
Items must be requested in advance and viewed on-site.
Call No. G.D. RHODESIA
https://searchworks.stanford.edu/view/39835

Rhodesia, the Senate.
Parliamentary debates
Library has: 1971-1979
Items must be requested in advance and viewed on-site
Hoover Library
Call No. G.D. RHODESIA
https://searchworks.stanford.edu/view/398356

Rhodesia, the Senate
Parliamentary debates
Salisbury, Rhodesia : The Senate, [1971-1979]
Holdings need to be verified.
Library has: v.12:no.2(1979:June 27), v.12:no.19(1979:Sept.26), v.12:no.28(1979:Dec.11)
SAL 1/2
Call No. J725 .A51A V.12:NO.2,19,28 1979
https://searchworks.stanford.edu/view/516983

Zimbabwe. Parliament. House of Assembly.
Parliamentary debates
1980-1989. Not complete.
SAL 1/2
https://searchworks.stanford.edu/view/515655
 

Zimbabwe. Parliament. Senate.
Parliamentary debates
SAL 1/2  has: 
J725 .A52 V.4-5     
J725 .A52 V.2-3     
J725 .A52 V.1, 1980
https://searchworks.stanford.edu/view/515665

Zimbabwe. Parliament. Senate.
Parliamentary debates (Official report unrevised)
SAL 1/2 and 3 has 1984-1989. Not complete.
https://searchworks.stanford.edu/view/51567

Government publications relating to Southern Rhodesia, 1890-1963, and to the
Federation of Rhodesia and Nyasaland, 1953-1963 [electronic resource] /
introduction by Andrew Roberts
11 pages Finding aid for a huge microform collection at the Center for Research Libraries.
Includes British South African Company documents, the Government Gazettes,
Annual reports, Command papers, Official yearbooks, trade annuals.
http://catalog.crl.edu/record=b2827903~S1

Newspapers
Stanford has newspapers from Rhodesia and Zimbabwe. A few examples are below.

Rhodesia Herald / Herald
Green Library has print and microfilm issues
https://searchworks.stanford.edu/catalog?utf8=%E2%9C%93&search_field=search&q=rhodesia+herald

Nineteenth Century collections online [electronic resource].
https://searchworks.stanford.edu/view/9637955
Has 1910 digital issues of The Rhodesia Herald.
select the archive - "Europe and Africa, Colonialism and Culture"
then select "Colonial Africa Newspapers from the British Library"
which has 1910 issues of The Rhodesia Herald

and

Transvaal & Southern-Rhodesia
has the Jan. 1934, Volume: VIII , Issue: 1 issue only
select the archive  "Europe and Africa, Colonialism and Culture"
Select Yale Divinity School Periodicals in Africa
then
Transvaal & Southern-Rhodesia

The Center for Research Libraries has Rhodesia / Zimbabwe newspapers on microfilm.
A few issues are online. One newspaper is the Rhodesia Herald first published Vol. 1, no. 1 (Oct. 29th., 1892).
http://catalog.crl.edu/search/Y?SEARCH=rhodesia%20herald&searchscope=1
 

Other Primary Resources

Pamphlets and serials on Ethiopia, Rhodesia, and, Rhodesia and Nyasaland [microform] : collected by Richard Greenfield, 1958-1965
Hoover Library Stacks
Items must be requested in advance and viewed on-site.
1 Microfilm reel
DT371 .P188 MFILM     
DT371 .P188 INDEX of 2 leaves
https://searchworks.stanford.edu/view/3013048

Rhodesia and Nyasaland law reports
Stanford Law School Library
Call No. KQE514 .R46 
Call No. KQE514 .R46 INDEX
https://searchworks.stanford.edu/view/2158551
 

The Center for Research Libraries has the title below available to Stanford users thru Interlibrary Loan.

Rhodesia and Nyasaland political ephemera, 1956-1963 [microform]
Alt Title(s)   Title on microfilm container: Northern Rhodesia United National Independence Party, political ephemera, 1956-1963
Add Author(s)    United National Independence Party (Northern Rhodesia)
Physical description    1 microfilm reel ; 35 mm
http://catalog.crl.edu/record=b1853369~S1
The 4 page Inventory is online at the Center for Research Libraries