For one, there is irreducible complexity, as in a flagellum: it requires every part just as it is to work properly. Or as in sexual reproduction: how could both genders evolve at the same time, in the same place, in the same species? Polystrate fossils: these are single fossils that are embedded vertically through many 'millennia' of strata. also there is the fact that even though we apparently evolved from apes, there are still apes in present day, unevolved. There have been no missing links found, either.
It seems strange to me that science is convenient for those who don't believe in evolution when they need medical science to cure a disease like cancer. Yet they keep a closed mind on any aspect of science that threatens their beliefs. Ignorance must truly be blissful!