This is hard to answer, mainly because all of the DS games I've played have had text.
My bf's 4-year-old cousin Natalie likes to play my copy of Picross, even though she doesn't play it strategically, it's more of a "click blocks to reveal a picture" game. She also likes My Sims for the Wii, but both Wii and DS version use text for the characters communicating.
People who are suggesting games should also keep in mind the motor skills of this age group, since Natalie can really only move around and maybe press "A". She likes running around on Dragon Quest Rocket Slime because it's bright and cute, but she can't really play the game for the game, so while animal crossing would be pretty decent in this respect, the characters on there also only use text for communication.
The virtual pet games would probably also be good, be it Nintendogs or one of the Petz offshoots (though don't buy Animates, it's very poor).
Bomberman may possibly be a good game (though get Bomberman and not Bomberman Land Touch)... it's game-play is very simple and the charcters are bright and cute, though the AI is pretty unfair in any bomberman game, even on easy.
It is very hard to know if any of the games made specifically for young girls are good since most gaming sites don't even bother looking at them, but you might check out user reviews for the Barbie, Bratz and Hannah Montana games ( if you want your little girl to get into THOSE types of games >_> ), and games based on random cartoons on tv.
Don't forget that the DS can also play GBA games! It already has a big library of games.
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