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There is nothing like the story and atmosphere of SOMA, but some notable games in the ballpark of "unique, low combat, engaging story" are:

Obduction, The Talos Principle, Alien Isolation (some combat), INFRA (creepier than expected)

Frictional's first game, Penumbra: Overture also fits in my opinion (although not if you already consider Amnesia to be too dated).

I found Kairo to be a little gem in this style.