Oh.
Then, uh...
What about Chibi Robo: Park Patrol? I know it's not EXACTLY the same, and there aren't technically any levels and it's about growing flowers instead of progressing, but...
And on that same note, Okaeri! Chibi Robo: Happy Richie Osouji may qualify, too.
Another great game suggestion, easily top 100 in the DS library, still very un-zelda like.
Theres no dungeons or puzzle rooms to solve. The items you do get aren't necessary. They're just aids to help you get your voltage up, or traverse more ground. And the Misc items just make others happy. Teres only a slight hint of a story, but most of the game s just busy work/planting flowers. Very un-zelda-like. Although how cool was that RC Car and Windmill?
Okaeri Chibi Robo, however, is a different story. It's more like the original Chibi Robo, which is similar to Zelda except you clean things. Instead of dungeons, you get an entire house. There's not much in the way of puzzles except for the gambling thing, but getting the items you need to progress can be considered a puzzle.
Sure, one goal is to raise your rank so you can get more upgrades from Citrusoft, but the main goal is to turn the house beautiful. To clean it up and change it from the run down, crackhouse-looking place it is at the beginning of the game.
There aren't any bosses, really, but there are enemies around. Mainly rats and dirt ghosts, but still...