My school required titers for Varicella (Chicken-Pox) and Hepatitis-B (or at least showing that you are getting the series of 3 shots as fast as possible before matriculation with a follow-up titer ASAP), a recent PPD (TB) Test, documentation of two MMR vaccinations, and a complete physical and history by a physician.
For those worried about vaccinations, the titers are pretty easy to get from your family physician or a clinic, the TB takes 2-3 days, and a MMR injection is easy.
The ones that may trip you up are the Chicken-Pox vaccine (which can take a month or two if you need to get two injections) and the Hepatitis-B vaccination series (which can take up to 6 months to complete, with the titer increasing the total time to 9 months). So, you should probably take care of those two now and worry about the other specific requirements later on in the application season depending on where you will be matriculating.