Also, here's a list for release order. THIS is what first time viewers should do.
Something else to note is that LOGH's main series is broken down into 4 "seasons". If the whole length is intimidating, break it down by season and take a break between watching each one. There is nothing wrong with savoring the show.
Movie 1 - My Conquest is the Sea of Stars - 1988
Main Series Season 1 - Episodes 1-26 - 1988-1989
Main Series Season 2 - Episodes 27-54 - 1991-1992
Movie 2 - Golden Wings - 1992
Movie 3 - Overture to a New War - 1993
Main Series Season 3 - Episodes 55-86 - 1994-1995
Main Series Season 4 - Episodes 87-110 - 1996-1997
Legend of Galactic Heroes Side Stories (1st season) - 24 episodes, 1998 – 1999
Legend of Galactic Heroes Side Stories (2nd season) - 28 episodes, 1999 – 2000
Also, something to note. The main series is an adaptation of the novel, however, golden wings is an exception. A partially complete manga adaptation of the novels was made first, featuring a different artstyle. One new manga called Golden Wings was written by the original author, Tanaka. When it came time to make the anime version of Golden Wings, they decided to literally adopt the manga's artstyle, rather than conform to the designs seen in the anime. Why? No fucking clue, but the story shown in it IS canon, only the oddball artstyle is not.