What are some good games that opt for a grounded approach? I agree that it is few and far between (whether that is good, bad, or indifferent is a topic for another space). A few that come to mind are Don't Escape: 4 Days to Survive (takes place in a survival situation) and Dreams in the Witch House, which incorporates shop/money mechanics and other survival management elements.
You wanna know which came ISN'T grounded? Nightlong: Union City Conspiracy. If you are in the mood for some hilariously baffling moon logic, outlandish set design and embarrassing period voice acting and CG, with a plot that makes slightly more sense than The Mystery of The Druids, give it a shot. It's basically "we have Blade Runner at home."
Guess how they travel in the cyberpunk future presented in this game: flying cars. But guess how they receive documents when out of the office? Public fax machine booths mounted on walls of train stations. That's right. FAX MACHINES. The future is now.
The game is not bad per se, it will definitely stay in your mind with its utter weirdness. Grimbeard did a detailed video on it if you are curious.