Touch Detective, Hotel Dusk, and Lost in Blue are all visual-novel-style adventures for the DS much like Professor Layton or Ace Attorney. Trauma Center (DS & Wii) also ahs a visual-novel style, but focuses own tense surgery. No combat, but could still be stressful, since they really play up the tension.

Harvest Moon is a series of farm simulation games for multiple consoles. Animal Crossing is very low-pressure sim where you do whatever you want in your town (again, multiple consoles).

The Puzzle Quest games (multiple consoles) are RPGs, but they replace combat with block puzzle games