Yamato New Voyage and Be Forever Yamato, I believe.
Correct. The first was a TV movie that came out in I think 1979. Takes place about a month after the end of Series 2 (which started in the year 2201), with Yamato and her remaining crew having been fixed up. They take on new graduates from the Academy and take off for a training cruise. Meanwhile stuff happens around Gamilas/Iscandar involving Dessler and the new enemy, the Dark Nebula Empire.
Be Forever, Yamato, was a theatrical release film in 1980 at the height of Yamato Fever. Its set roughly a year after the events of the TV movie (so sometime late in the year 2202) and involves the Dark Nebula Empire coming after Earth for what Yamato did to their forces around Iscandar.
The original Series Three (known in the west as "The Bolar Wars") starts either the year following that film, or three years following that film with the Gamilas at war with the Bolar Union and Earth getting caught in the crossfire (the story is an analogy of the Cold War between the United States (Gamilas) and the Soviet Union (Bolar) with Earth (Japan) attempting to stay out of it.) It was supposedly set in 2205, but the last film of the original run of the series,
Final Yamato, retconned it to having to take place during 2203.
That said, the timeline for Yamato is a bit wonky since aside from the first and third series, there is not a countdown timer in the second series and only the year is given in the films. There are a few "firm" dates. The primary one being that it was decided that Yamato took off for the first time on October 6th, 2199, in the original series (to match the TV show's first day in of October 6th, 1974). The timeline in the first series can be figured out roughly from the "There are X days left) with October 6th being roughly day 1 of 365 days they have to return to Earth. Series 2 is set a year after Yamato returns home, as the first anniversary of their return is held during the second episode of the series (the gathering at Hero's Hill). There is no firm dates after this since their is no timer for the series. Series Three has a countdown timer of a year, but it is unknown the dates the timer started, or as it turns out, the year even. Traditionally, the idea is that Yamato somehow takes off again in October for Series 3, but if could also be early winter as there is a lot of snow in the Japanese Alps base where they launched the ships from this time around. Also an early 2203 launch would place the start of that series right after they got home from the
Be Forever, Yamato film, and give them time to have gotten back in under a year's time to have the adventure in
Final Yamato also in the year 2203 like it states in that film's opening.
The remakes' Third series will at least partly be set in the year 2205, as per its title, and I don't expect the timeline to be nearly as wonky because these are fans making this stuff, and they had to piece together these sort of timeline issues for decades now.