Played the old PS3 HD version a few months ago. Here are some quick thoughts:

Pros:
>Fun photography elements.
>Charmingly ugly French aesthetics. Exact same art team as Rayman 2 and it shows.
>Decent gameplay variety that *usually* distracts from how weak each part actually is.
>Seeing the world and propaganda change as Jade releases more reports is cool.
>Side quests are decent fun although the pearl upgrades really do fucking nothing.

Cons:
>Mediocre combat
>Mediocre stealth sections that go on too long
>Mediocre racing
>Some truly grating music (race theme, bar music)
>A handful of genuinely bad minigames
>Jade is basically a non-character in her own game. Zero personality.
>Completely retarded twist and cliffhanger ending.
>Laughably pretentious title for a very simple game with hamfisted themes and completely black and white morality to its story.

I like it just fine, I had fun playing it. But how it developed such a reputation over the years is really beyond me. Jade is so boring, and the cliffhanger is so fucking dumb. Of all the games to spend 2+ decades making a sequel for, Beyond Good & Evil is especially ridiculous.