I first came across the series as a whole after watching two Let's Players play a fighting game for this anime. They were really excited about it and had nothing but praise for it. So I thought that I should just check it out. Although this is a continuation of the series as whole, it's practically a whole new show with some background info.
Story
The story takes place many years after the previous season. It follows the bizarre adventures of a new JoJo, Jotaro Kujoh who is the grandson of the previous JoJo, Joseph JoestarJotaro is first seen in jail and refuses to leave feeling he's been possesed by an evil spirit. Jotaro's mother, Holly, calls upon Joseph, her father, to talk Jotaro out of jail. After arriving with his friend Avdol, they convince that this "evil spirit" is called a Stand, a psychic manifestation of the user's bodily energy. After some catching up, they find out out that the mortal enemy of the entire Joestars family lineage, Dio Brando, is actually alive and has been resting for 100 years after stealing the body of Jonathan Joestar, Joseph's grandfather. Together they travel to Egypt to stop Dio from taking over the world. Basic action stuff plot. Not only is it full of hardcore and epic action, there's a ton of comedy in between.
Animation
The same animation style applies from the previous. If I were to describe the animation in one word it would be "overexaggeration". It's not overexaggerated in an obnoxious way. I feel that the show already knows what it is and just plays it up. One thing that's always present is the use of different neon color palettes during some intense scenes. Action scenes are pretty good as well. There's also the character design. There's no clear way to explain it. Everyone is absolutely rippling with gigantic muscles that would make Adonis green with envy. The homoeroticism is blazing through the roof. However, that's just the JoJo's Bizarre Adventure style and it's cool I gues. Another thing is posing is mandatory. Just imagine Ginyu Force posing and that's what you get here.
Sound
The most notable thing in the sound department is the voice acting. To be more specific, the voice acting of Joseph Joestar. Like I said about the animation, it's extremely overexaggerated but that's what makes it funny. Just hearing Joseph scream, "OHH MY GOD!!!!!" is just hilarious. Also love the opening music of this show. It's just as epic as the show and really gets you in the mood for some good action to come.
Characters
I'll start with the main character of the series, Jotaro Kujoh. It took me a while for him to grow on me. I mean he called his mom a bitch. Who does that? He has this extremely tough stone-faced facade but in actuality, he's pretty clever, caring and loving as he's willing to risk his life to his mother. Jotaro Kujoh is, by far, the coolest anime character I have ever come across. Oh yeah. There's other people too. He's surrounded by a great supporting cast. There's his grandfather Joseph to be his mentor. There's Jean Paul Polnareff for comic relief. Like I said, great characters all around.
Overall
If you just finished the 1st season and not so sure about the next one, watch it. It's practically the same but with just new characters and the concept of Stands, which is used later on in the entire series. However, because of the whole new Stands concept, newcomers can start on Stardust Crusaders and it'll be fine. I'd recommend some light background checking and that's it. Great action anime as a whole. No complex storylines. Just "there's a bad guy. Beat him." To keep it from being just a regular action anime, they applied a nice gimmick with stands and just it well. Can't wait for season 3!