Indeed, you have quite a bit of freedom in Mabinogi.
Gathering mostly, crafting, exploring, music playing, getting treasures from the desert with L sticks (That thing's very fun to do actually :3).
Mind you combat is still important and one of the main facet of the game, but if you don't feel like it, theres definitely alot to do outside of it.
Not a big fan personally, but the other MMO that comes to mind is Eve online, in this one I'd say the other options are quite viable (being a miner/trader) infact if you play those, you most likely want to avoid having anything to do with combat.






