Any games where I can shop for things and keep them?

House Flipper could be a close fit if you like decorating rooms. You can buy furniture and place it in homes, though the game is built around renovating properties rather than shopping alone. Check which edition or add-ons you want before buying, so the real-world cost stays within your budget.

The Sims 4 is worth a look if arranging objects in a home is the main appeal. You can furnish rooms and move things around, but the money is part of managing a household rather than a pure spending simulator. Extra content is sold separately, so you can stick to the base game if you want to avoid more purchases.

If collecting and displaying objects matters more than the feeling of spending, Animal Crossing: New Horizons has a home and island you can decorate with furniture. The tradeoff is that earning money and finding items can involve repeated tasks, so it may feel grindy if you want a quick shopping fix.