Pokemon is often classified as a kiddies game, and I blame the TV series solely for this. They interpritated the series quite badly and made the Pokemon seem too cutesy in my opinion, they could have made them a lot more middle of the road (but then again, it was FUNimation that edited the American/English version).
To the game itself, I think it's a brilliant compromise between the young and old. For the younger generations, they get a fun game with lots of different creatures to mess around with. But I can tell everyone here, for us (the older generation), it's a serious, hard working game when you're working out a truely indestructible team to compete with. Trial and Error, complimentary types, skills and moves, the works. I'm always looking at improving my squads.
For this reason I don't think Pokemon is kiddy. It's too involving and has too much potential to be simply disregarded as a kiddy game. I love it, and Froslass is my favourite Pokemon of all time.