Project 1143.5
This is one of the early proposals for project 11435 Admiral Kuznetsov (or Tblisi, Riga, Leonid Breznev). It features still conventional steam-catabults instead the ski-jump in the later configuration. Reasons for substituting the catabults were purely political, Defence minister Ustinov was so convinced of Yakolev's lobbying of "supersonic VSTOL plane than outperforms all existing combat aircrafts" that he insisted that it should form the base of soviet carrier aviation. Only later on it was realized that conventional Su-27k and MiG-29k could operate from the ski-jump as well.
Project 1143.4.2
This is one of the most interesting soviet carrier designs. It was to be a follow on to Baku, the so called "fifth carrier" as it was then called and alternative to the larger Project 1143.5. It's slightly enlargened version of Baku but with bow cleared for ski-jump and the Bazalt launchers moved to the side. Its airgroup would have consist from Su-27k and Yak-41 as well as Yak-44 AEW planes. It's a similar attempt to block the large carrier program as the pr. 10200 Khalzan class helicopter carrier was.
Project 1143.7 Ulyanovsk
Not much more can be said of this desing, the culmination of Soviet carrier program was to be the Ulyanovsk, nuclear powered aircraft carrier, follow on to Kuznetsov and Varyag. It was laid down in 1988 but work was still in early phase when Soviet Union collapsed.
There are still some designs which didn't make for this round, like ALV, various Moskva prototypes and some later VSTOL and Helicopter carriers. But don't worry I'll do them also in some time, next round I hope.