Bugs and cheats listed below can be replicated on a device without the need of cheat tools.
You can delete your friends list multiple times per day so you can keep getting the new friend bonus ticket rewards.
You can make it so that when somebody moves out, the person or pet that was moving out stays. However it doesn't count as a person living there, and you won't get income.
Sometimes a prospective tenant stays very long and you have to wait. This can be problematic when your job seekers move out in spring directly before retirees leave their nest, and because of this you may only let one job seeker move in again before hiring season.
Some times, the propective tenants may walk through the wall during touring.
Reload cheat - It can be used on scratch cards (Gold scratch cards are easiest), by saving the game right before the tenant reaches the finish line, and reseting if the scratch card outcome isn't favorable. So long as you don't save, you can equip a won accessory to see how it looks, and reseting if you don't like it.
Insta-Research cheat - As of v2.04, there is a bug where after choosing to research for an item, exiting the menu finishes the research instantly. This is also useful if you need to research permits. (Confirmed working for v2.05)