In my opinion, all of Kurosawa's films from 1946 through 1966 (I've seen about 18 which are available on video) are highly recommended. They are not only good the first time through, but hold up to multiple viewings. The star of No Regrets For our Youth is Setsuko Hara, who also starred in Kurosawa's The Idiot and in several Yasujiro Ozu films including Tokyo Story and Early Summer. From what I have heard on the commentaries, she was a big, big star in Japan and it's easy to see why. She conveys a tremendous amount of emotion and generates great sympathy for her characters. She was outstanding in Tokyo Story. We also have a short appearance by Takashi Shimura as a bad guy.
I was very impressed by how the film made the characters convincing in both the first act where they are college students, and then again nearly 10 years later. The characters have changed not only in appearance but in personality and mannerisms. It made the passing years very convincing.
The film is interesting from both an historical viewpoint and as a pure drama. This was made just a year or so after the Japanese surrender in World War II, and we get a good feel for how the militaristic government in Japan was able to gain the unquestioning support of most of the population. Some things never change, do they?
Highly recommended, although if you are starting out on Kurosawa, you may want to try something from the 1955 to 66 period.