What kind of checkups should I have at least once a year to make sure I'm healthy?

I plan on going to South Korea to teach English next year and I know we do a health check there, but I am wanting to get some of the important stuff done before I go, so that I don't go and get sent back because I have something wrong with me. I know there is a Pap Smear which I had scheduled for in January or February this year that I missed because I was visiting Korea at the time and I didn't have insurance anymore anyway. And do blood tests test for everything? What other things are there besides a general blood test and a pap smear?