Well I've recently finished my drawings on the Dido Emergency cruiser designs of 1949/51:
https://www.deviantart.com/tzoli/art/Dido-Emergency-Cruiser-Designs-1368029936
Variant 1 with 5,25" guns:
https://images-wixmp-ed30a86b8c4ca8...0.kWjStgIpGTpoY8zP7TRAyT1z7h5Gl7jkKpDCMkEXk5E
Variant 2 with 4,5" guns:
https://images-wixmp-ed30a86b8c4ca8...0.XoBkeXEiY3hJfmFM_L0tu_v5B0kmoJ2oWvviRIf9EzA
As for other designs:
Submarines, I'm not too familiar with these projects but:
Boreas class from 1953 an SSK with 15 ships in mind.
Corvettes:
Type 17 Corvettes/Light Frigates from 1950 (2 variants)
3xx series Design studies of 1963
9xx series Design studies of 1964
S-85 Design - 1981
Vosper Thornycroft Designs - 1990 (offshore missile vessels, corvettes, patrol corvette)
Frigates:
Type 18 Frigate - 1951
Type 42 Frigate - 1952
Type 62 Frigate - 1952
Common Hull Frigate Designs (2 variants: AA and ASW) - 1952
GW.24 Guided Missile Escort ship design of the GW series - 1954
Type 81 Frigate - 1958
Future Frigate Designs (A-E) - 1959
CF299 (Sea Dart) Frigate Studies - 1963
3xx series Design studies of 1963/64
Type 17 Frigate design (Different from the 1950 corvette/light frigate proposal) - 1964
Type 42 Frigate (Different from the earlier Type 42) - 1964
Type 19 Frigate - 1966
Type 24 Frigate Designs (British, American, French, Italian) - 1979
Type 25Frigate - 1979
S-90 Design - 1981
Vosper Thornycroft Designs - 1985
Destroyers:
Cruiser-Destroyer Designs (7 variants) - 1949/50/52/53
Design 1953
GW series of Guided Missile ship designs - 1953/54/55
Next Generation Missile Ship Schemes (Both Normal and Nuclear Propulsion, NIGS armed) - 1959
Design 53 variants - 1962
Type 43 (Small, Harrier, Large variants) - 1982
Type 44 - 1983
6.000ton Design - 1990
Cruisers:
Above shown Emergency Dido designs - 1949/54
Conversion plans for Majestic and Formidable class carriers into Guided Missile ships/cruisers - 1951
New Design Armoured Cruiser (CR Series 1-17) - 1951/52/54
GW series of Guided Missile ship designs - 1953/54/55/56/57
Study 21 Escort Carrier Designs - 1960/61
Battleships:
I think there were discussions for conversion of the KGVs and Vanguard into Sea Slug armed Missile Battleships, but not much work was done on these proposals if I remember correctly
Carriers:
Vosper Thornycroft Design Escort Carrier / Small carrier design - 1975
HMS Implacable Guided Missile warship/Helicopter Carrier Conversion proposal - 1951
Small Fleet Aircraft Carrier Design - 1954
Study 6 Series of Escort ship / Helicopter Carrier Designs - 1960
Study 9 Series of Escort ship / Helicopter Carrier Designs - 1960
Vickers Versatile Aircraft Carrier Design - 1980
Vickers Design CVL - 1982
HMS Ark Royal LPH Conversion Proposal - 1992
Design 1952 Fleet Carrier Proposal
Design 1953 Fleet Carrier Proposal
Medium Fleet Aircraft Carrier Designs - 1954/55
Final CVA Design - 1962 (Need to get info on the preliminaries)
That is all I know.
Of course there are a couple of export designs as well.