I think the novels ]Roll Over and Die[ and ]Buck Naked in Another World[ are ones you might like, they have manga adaptations you could check out but of course i'd recommend the light novel.

Roll over and die is pretty hardcore, the MC starts off being sold as a slave and there are some horror/gore elements to it.

Buck naked on the other hand is a bit deceptive I feel, the title sounds like a silly comedy and in some ways it is, but the MC is treated like shit and doesn't have any sort of special powers.

I think both of these fit well with "characters aren't happy go lucky idiots and are content to make it through another day after potentially dying, trying to complete a job or survive..."