The characters or heck, maybe even one character will grow on you as you watch from start to finish. Their own unique use and contribution to the story and they are presented in ways you get to know them.
Even though this is primarily shoujo, the well diverse but archetypical cast do have mass appeal. So the Alice in Wonderland concept may not be something that will appeal to everyone since you’ve already seen it in more semi-mainstream animes in comparison to this one such as 12 Kingdoms, Inuyasha, and Escaflowne which came out after Fushigi Yuugi though this was the anime that did it before it became something semi-common. Though by some standards today, the story may seem a bit cliché, but for its time in the mid-1990s, it wasn’t really that much of the norm.