I think this is a very general question. To answer that, it might be helpful to narrow down the question to a specific application or case you are looking at. For instance, I designed a porous biodegradable implant for orthopedic applications. The material that I used was a calcium phosphate sodium glass-ceramic. Usually, ceramic materials used in orthopedic applications contain calcium oxide, phosphate, and an alkali metal oxide. Calcium and phosphor accelerate bone generation. Alkali metals are important to adjust the melting temperature during sintering process. Biodegradability is a relatively new area of research that enables using implants that will degrade as natural bone tissue grows, and hence do not require an additional removal surgery.
There are so many ceramic composite materials for bio applications. As told by previous experts, Cement, calcium, phosphate, sodium glass-ceramic, Titanium are the commonly used bio ceramic materials.