Raab, nice to have you here, but should this question not have been covered when you studied air law?
This link may help
Strictly speaking a checkout is only required when there is a significant difference between what you are flying and what you want to fly. Nosewheel to tailwheel for instance. However, if you are renting, expect to get checked out on types even within a class, because renters would like to make sure you are unlikely to break their aeroplane.
So, for instance, if you have been flying a C172 with classic instruments and want to fly a C152 with classic instruments you are unlikely to just be handed the keys and told to get on with it until you have considerable flying experience.