Mother's Cake - I'm your President is one I can think of.
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The Citadel from Mass Effect
With this playing on repeat https://www.youtube.com/watch?v=sLLbzwWam6g
Die Hard Trilogy
That is not really true. You can ignore the persons you meet completely and play the whole game on your own. Also, you can only interact through audio effects and a small proximity effect, to charge your scarve. They are more like a ghost, playing alongside you.
Journey is the only other one I can think of.
True, but I think that the microphone communication that Binary Domain offers is a unique feature that OP will appreciate.
"Binary Domain" is an option. You are almost all the time accompanied by 1-3 NPCs of your Team. The game also has a, more or less working, voice System to talk to your team through your microphone. That way you can give orders and have some small talk. The game is quite good, give it a try.
Doom 1 and, to some extent, 2. Honestly.
I know exactly what you are looking for and the classic Doom games are perfect for this, because they are simple, yet they still feel good to play.
Not too fast, not too slow. No jump scares, only some light puzzles if you want to hunt secrets. There is almost a rhythm to the combat, especially if you play with the shotgun. Try them.
Lyrics are performed in the game's own Dwarven Language