The court case that establishes judicial review was Marbury vs. Madison. In this case, Marbury was supposed to be appointed as a federal judge. However, he was appointed when John Adams presidency was almost done. Once Adams was out of office, Madison refused to grant Marbury the position. This went to the Supreme Court, in which the court ruled that what Madison did was illegal. However, Congress also ruled the fact that Marbury brought this right to the Supreme Court rather than going through local/state courts was unconstitutional based on the Judiciary Act of 1789. Ultimately, Marbury does not become a judge.
The court case that establishes that "separate but equal" is Plessy vs. Ferguson. Homer Plessy was an individual who a train company tried to move to a "colored" section on a train even though he paid for a first class ticket. His refusal to move resulted in arrest and several court cases. In the end, the Supreme Court ruled that "separate but equal" was indeed legal. This idea of "separate but equal" does not become illegal until the 1954 case of Brown vs. Board of Education.