I have an old Minolta Maxxum, is there a camera DSLR body that will take all the lenses from the Maxxum available ?
Yes, there are. Any digital camera with an A-mount will accept them directly. The Sony A68 is the latest such model and uses an APS-C sensor so it will crop the field of view by 1.5X, meaning all your lenses will become less wide but they will still work. To preserve the field-of-view, you can use a full-frame model such as the Sony SLT-A99V.
There is another good option and that is to with a Sony E-mount mirrorless camera and an additional adapter. These some in two varieties and coverage-size, one with Phase-Detect AF which will allow the camera to also perform autofocus with your Maxxum lenses. Some newer models can do it without the Phase-Detect adapter because they have built-in Phase-Detect AF.