Let me give you guys all the projects I know regarding the Soviet Carriers:
Project 66AV or 68AV? (1953): Carrier design based on Project 66 heavy cruiser or Sverdlov class light cruiser?
Project 69AV (1945): Kronshtadt class battlecruiser conversion into carrier
Project 71A (1936): 13,000-ton Light Carrier Design
Project 71B (1937): 22,000-ton Fleet Carrier Design
Project 72 (1942): 37,000-ton Fleet Carrier Design
Project 85 (1954): 30,500-ton light carrier design
Project 1020.0 (1980): 30,000-ton Helicopter carrier design
Project 1058.1 (1937): 74,000-ton battlecarrier design (Gibs & Cox project)
Project 1123 (1962): Moskva class helicopter carrier
Project 1123.3 (1968): Modernized Moskva class helicopter carrier design
Project 1143.0 (1970): Kiev class carrier
Project 1143.2 (1972): Modified Kiev class carrier Minsk
Project 1143.3 (1975): Improved Kiev class carrier Novorossiysk
Project 1143.4 (1978): Kiev Mod class carrier Baku
Project 1143.5 (1982): Admiral Kuznetsov class carrier
Project 1143.5M (???): Modernized Admiral Kuznetsov class carrier design
Project 1143.6 (1985): Modified Admiral Kuznetsov class carrier
Project 1143.7 (1988): Ulyanovsk class nuclear-powered carrier
Project 1153 (1969): 70,000-ton Nuclear powered carrier design
Project 1160 (1972): 80,000-ton Nuclear powered carrier design
Project 1178 (1990): 44,000-ton Helicopter carrier design