Adventure? As in the style of Myst or King's Quest?

Isles of Derek (and Nacah when back in stock) are Myst-like with no violence.

Interactive Parables is low violence - you can get squished by a big shoe or fall through thin ice, but the game just flashes a screen saying "oops" and you get start over from your last save.

Give more details on what you are looking for so we can make better suggestions.

Also, boy or girl? My daughter likes the horse and pet games that are out there.

Tim