The statement that has exceptions is:
"Sexual reproduction involves parental care, while asexual reproduction does not."
While it is often true that sexual reproduction can involve parental care (especially in species where two parents are involved), there are many species that reproduce sexually without any parental care. Conversely, some asexual organisms may exhibit some form of parental care or protection of offspring, even if it's less common. Therefore, this statement may not hold universally true for all organisms.
The other statements are more definitive and generally accurate: sexual reproduction is more complex, promotes genetic variation, and typically involves two parents, while asexual reproduction is simpler and usually involves only one parent.