Well those kinds of things are like Browser games in which you just
click around on your menu.
The fighting systems in those are extremely simple so if you don't
like fighting that might be ideal.
Then browser games rely more on trading systems instead of combat due
to the lack of visuals.
I can't suggest any myself because I don't really play them, and the
ones I did are long forgotten to me.
But unfortunately you will not be able to find many of the games
you're looking for on store shelves.
A rather old RPG I know of that would best fit your specifications is
Harvest Moon, but that's a rather old game and finding it may be
difficult and it's no MMO.
But thinking about it, you can try out EVE online. Sure it has
fighting which is sort of complex, you can avoid fights and trade
stuff such as raw materials, ores, etc.
But, most MMO RPGs are based around combat due to players wanting
competition with others.
So I hoe what I've said helps, good luck!