There have been two anime versions of Space Battleship Yamato.
Star Blazers (released in 1974)
The first in 1974 was called Space Battleship Yamato 宇宙戦艦ヤマト in Japanese and Star Blazers in the US and Canada.
It was the first Japanese anime of its type to make its way to Canadian television, with a complex multi-part story, each episode following on from the last. It was light-years beyond the usual American and Canadian animated kids shows that were available.
You can get it e.g. on iTunes as six episodes of about 1.5 hours each.
Space Battleship Yamato 2199 (released in 2012)
There was a remake in 2012 called Space Battleship Yamato 2199 宇宙戦艦ヤマト2199 or Star Blazers: Space Battleship Yamato 2199.
The remake has dramatically higher quality animation and although it starts out almost identically to the original, it begins to diverge episode by episode from the original story. It is much better from basically every perspective.
You can get it e.g. on iTunes, in two different versions: the Japanese version with subtitles, or a dubbed version. I’ve only watched the Japanese subtitled one. Season 1 is split into two parts of 13 episodes each. You want either Pt. 1 & Pt. 2 (Original Japanese) or the dubbed Pt. 1 and Pt. 2 (they are all separate purchases).
Also, in the Japanese version of the new series at least and I would expect in the dubbed version as well, aspects of the 1974 series that were bowdlerized for the US and Canadian audience, such as Dr. Sakezo Sado’s fondness for drinking sake, are now shown in full.
Space Battleship Yamato 2199 is very good. I would skip episode 1×07 Farewell to the Solar System as it has a drunken party including Makoto Harada (the chief nurse) in an inappropriate outfit. All the other episodes are good.
Particularly notable is episode 1×09 Clockwork Prisoner, which I think is the best episode of season 1 and is the first episode where you can really see they are making a very different show than the original.
Space Battleship Yamato 2202 (released in 2017)
Season 2 of the new series is called Space Battleship Yamato 2202: Warriors of Love 宇宙戦艦ヤマト2202 愛の戦士たち. I haven’t watched it.
There are accompanying books that are very confusingly named.
The book of the 1974 series is inexplicably called Space Battleship Yamato: The Classic Collection (it really should be called Star Blazers). ISBN13: 9781626929128.
There are four books for the 2012 series, all with the title Star Blazers 2199 (they really should be called Space Battleship Yamato 2199).
- Star Blazers 2199 Omnibus Volume 1. ISBN13: 9781506712208.
- Star Blazers 2199 Omnibus Volume 2. ISBN13: 9781506712215.
- Star Blazers 2199 Omnibus Volume 3. Not yet released. Estimated date December 28, 2021. Provisional ISBN13: 9781506712222.
- Star Blazers 2199 Omnibus Volume 4. Not yet released. Estimated date December 28, 2021. Provisional ISBN13: 9781506712239.