That unit was called a "Cook and Clean Center" and is not one unit but actually two. It was marketed under the Modern Maid brand name as well as Simplicity and McGraw Edison.

The dishwasher is a separate unit and may be able to be replaced by almost any brand of built-in dishwasher. It was a typical built-in model at the time. If a short hight model is needed, the Fisher and Paykel double "Dishdrawer" or one particular Bosch model (see the links below) can be mounted into a space as short as 32-1/16" (81.44 cm).

The range section may be a bigger problem. Modern Maid was purchased by Caloric a number of years ago which was in turn purchased by Amana whom is now owned by Maytag (and maybe shortly by Whirlpool?). You can try asking a local Amana or Maytag dealer if such a model is still manufactured but I doubt it.

Optionally, it might be possible to repair the one you have. Some functional parts (elements, switches) and even some trim parts like element drip bowls or knobs may still be available for the range (see the links below).

The same dishwasher design was used for years. Some parts for it may also still be available if needed. The original dishwasher manufacturer was Design Manufacturing (DM for short) which is now owned by Frigidaire. Any replacement parts that are still available should be available through one of their parts depots.