If you follow almost any link in this post,
you'll find lots of famous Soviet movies on the right side of the youtube page,
and almost all of them have English and/or Russian subtitles.
Many different movies with Russian and English subtitles:
https://www.youtube.com/playlist?list=PL4dWJMOQ_a1TPLZbU-K3ic_HODgNTppT9 The main Russian movie studio - Mosfilm (Moscow film)
https://www.youtube.com/channel/UCEK3tT7DcfWGWJpNEDBdWog -
many movies on its youtube channel have English subtitles.
Below are some Soviet movies I love (mostly silly comedies):
The cold summer of 53 - Холодное лето 53 (drama - драма)
(one of the best Russian movies I've ever seen, got many awards in different countries; it's a very dramatic movie about the life right after Stalin's death)
https://www.youtube.com/watch?v=dAYOT6MvVuU The Diamond arm - Бриллиантовая рука (comedy - комедия)
https://www.youtube.com/watch?v=B-iVfLX2tvY Be aware of automobile - Берегись автомобиля (comedy-detective - комедия-детектив)
https://www.youtube.com/watch?v=q0nbvdj_NZo&list=PLFC7D6A444CA86492&index=3 Irony of fate - Ирония судьбы (romantic comedy - романтическая комедия; this movie has been shown on the Russian television
every year on the 31 of December for ... god knows how many years; has 2 parts)
https://www.youtube.com/watch?v=lVpmZnRIMKs&list=PLFC7D6A444CA86492&index=22https://www.youtube.com/watch?v=5TmGPeowN-0&list=PLFC7D6A444CA86492&index=21 Business love affair - Служебный роман (romantic comedy with lots of funny dialogues; has 2 parts)
https://www.youtube.com/watch?v=cmylNwnR9qQ&index=39&list=PLFC7D6A444CA86492https://www.youtube.com/watch?v=JPjr65ncLL8&list=PLFC7D6A444CA86492&index=40 Gentlemen of luck - Джентельмены удачи (сomedy - комедия)
https://www.youtube.com/watch?v=8tJPKSz6Gaw Operation Ы - Операция Ы (old silly comedy; has 3 parts)
https://www.youtube.com/watch?v=xJ5iHFSdAU4 The most charming and attractive - Самая обаятельная и привлекательная (cute comedy)
https://www.youtube.com/watch?v=v7PbeasXUbM&t=2116s The Communist - Коммунист (drama; about building one of the first Russian power plant in 1918; here, you'll see one of the most attractive Soviet actors playing the main part (The Communist))
https://www.youtube.com/watch?v=6EvFJCX-Nmc&t=26s&index=22&list=PLZ8Pg0itOsrpasT4v33O_MNBtrjZupSxL The dog's heart - Собачье сердце (satire; based on the famous Bulgakov's novel, this movie is about life in Saint Petersburg in 1918)
https://www.youtube.com/watch?v=aOE_3_Ws4y0&list=PLZ8Pg0itOsrpasT4v33O_MNBtrjZupSxL&index=11 Sherlock Holmes - Шерлок Холмс (detective series, about 8 in total) - these series are so famous in many countries that the actor who plays Sherlock Holmes got a special medal of British Empire from the British Queen. Also, a special coin depicting Russian Sherlock Holmes (the main actor) was made in New Zealand, and a beautiful monument of Russian Sherlock Holmes and Doctor Watson (two main actors of this movie) was set up in front of the British Embassy in Moscow (the pics are below the links).
https://www.youtube.com/watch?v=yhujgY6m0RQhttps://www.youtube.com/watch?v=WXwTPIhEs08my fave (part 1) -
https://www.youtube.com/watch?v=I8fSqg69vr4my fave (part 2) -
https://www.youtube.com/watch?v=zYliNh3yKwo New Zealand coin with Russian Sherlock Holmes
You can see this monument in front of the British embassy in Moscow
My fave Soviet movies about Soviet high school teens (during the 80s):
In my death (I) ask to blame Klava K - В моей смерти прошу винить Клаву К
(love story; this movie got many awards)
https://www.youtube.com/watch?v=8h7nocxldA4 You haven't dreamed of it... - Вам и не снилось...
(another love story; this movie was shown in NY under the title "Love & Lies")
https://www.youtube.com/watch?v=wNkz8sol_8s I LOVE SOVIET MOVIES!