Well said Ruby Chan, Digimon is a show that talks about real life problems, and how it impacts the characters.
However, I think people are always comparing Pokemon to Digimon, its always compared, and its depressing and annoying, because they are completely different shows, even though Pokemon is a little more kiddy, Digimon is in another whole league, it just doesn't have them battling digimon, it shows them have character development, and many different situations that shows them develop and interact.
Also, the dub and the original are a little different, that being said, the angst and soul searching was more up in your face than the dub, and also, the dub was actually suppose to be aimed for kids, while the original was for everyone. People have to think about that before comparing the shows, because the dub and the original have some differences.
I like Digimon, I use to watch it as a kid, but I still love it, mind you, it had nothing to do with the digimon or the battles, at all. I liked it because of the characters, the dynamics, how they changed, how close they were, there pasts, everything. For example, the Takeru and Yamato's subplot had to be the most intersting thing in all of Digimon. I loved how they showed Takeru and Yamato's relationship, and the family problems, and the reason why the acted the way they did.
Sora was another one, they showed how she didn't want to work in the flower shop with her mom, how she fought with her mom alot, and how it affected her abilities as a digidestined.
I also love how they interacted, how Taichi seemed to worry about everyone, how Yamato tried to act cool, but his care for his friends made him a better person. Even their crests was a big thing since it showed why they got it, and how they reacted. It suprised me at first why Yamato got friendship crest, but as its character developed, you see the reason why, and it intrigues you.
Digimon is for all ages, even the dub can be watched by all, the point is that Digimon has many hidden messages and morals, and that's why it makes this anime memorable and loved.