Not sure about your family health... but erm.. I can give you some examples of ones that might interest you!!
Single Gene Inheritance-individuals with an autosomal recessive single-gene disease inherit one mutant allele of the disease-associated gene from each of their parents.
Multifactorial Inheritance-Multifactorial inheritance is when more than 1 factor causes a trait or health problem, such as a birth defect or chronic illness.
Chromosome Abnormalities- a disorder characterized by a morphological or numerical alteration in single or multiple chromosomes, affecting autosomes, sex chromosomes, or both.
Mitochondrial Inheritance- the mitochondria contain their own DNA.