Arizona: Schools have on file a form to be filled in by parent/guardian to refuse vaccines on philosophical grounds.
exact info here:

B. APPLICATION FOR RELIGIOUS EXEMPTION
TO IMMUNIZATION REQUIREMENTS OF INSTITUTIONS OF HIGHER EDUCATION ...
(.pdf) http://www.vaclib.org/pdf/azcollege.pdf

"The provisions of this Act shall not apply if the individual furnishes to the college or university written proof from a church or denomination official that such immunization conflicts with the religious tenets and practices of such recognized church or religious denomination of which said individual is an adherent or member." "To claim a religious exemption, students must demonstrate that the "religious tenets and practices" on which they base their objections to immunization are those of a "recognized" religion."

What about those who have sincere religious convictions against vaccinations, but don't belong to a church? Read on...

Often you will be requested to state your rationale for your vaccination exemption petition. What follows is what is used for public schools, parochial schools, private colleges, and public universities.

Q: What constitutes a religious conflict with vaccination?

Good religious reasons...

These constitute good reasons when a school or college asks for your religious reason on a form that says, state your reason here, attach rationale, letter from clergy on letterhead, or state why a particular vaccination is contrary to your religious beliefs, etc...

Often you will be requested to state your rationale for your vaccination exemption petition. What follows is what is used for public schools, parochial schools, private colleges, and public universities.

Q: What constitutes a religious conflict with vaccination?

A: All vaccines are made in violation of God’s Word. Vaccines are made with toxic chemicals that are injected into the bloodstream by vaccination. All vaccines are made with foreign proteins (viruses and bacteria), and some vaccines are made with genetically engineered viral and bacterial materials.

A conflict arises if you believe that man is made in God’s image and the injection of toxic chemicals and foreign proteins into the bloodstream is a violation of God’s directive to keep the body/temple holy and free from impurities.

Vaccines are produced in animal tissues. A conflict arises if you accept God’s warning not to mix the blood of man with the blood of animals. Some vaccines are produced in aborted fetal tissue.

A conflict arises if your religious convictions are predicated on the belief that all life is sacred. God’s commandment "Thou Shall Not Kill" applies to the practice of abortion. When it is believed that the practice of abortion should not be encouraged or supported in any manner, a conflict may arise with vaccines produced in aborted fetal tissue even though you didn’t have anything to do with the abortions from which the vaccines are made from.

The Hepatitis-A vaccine containing MRC-5 is obtained from human babies that were electively aborted. WI-38 was created from the tissue of an aborted fetus and is used for the rubella portion of the MMR-II vaccine. RA 273 was created from the tissue of an aborted fetus, and is used for MMR-II vaccine. A conflict arises because my religious convictions are predicated on the belief that all life is sacred. God’s commandment "Thou Shall Not Kill" applies to the practice of abortion. The acceptance of this/these vaccine(s) promotes/promote abortion and violates the Sixth Commandment of "Thou Shall Not Kill".

The Chickenpox (Varivax) vaccine containing MRC-5 and RA 273, is obtained from human babies that were electively aborted. The acceptance of this vaccine promotes abortion and violates the Sixth Commandment of "Thou Shall Not Kill".

The Hepatitis-B vaccine protects against a disease that is only transmitted through multiple sexual partners or street IV drug users. The acceptance of this vaccine promotes sexual promiscuity and immoral behavior in direct contradiction to the teachings of my faith.

For a child under age 18, where parent has to make the statement, concerning Hep B vaccine...
The Hepatitis-B vaccine protects against a disease that is only transmitted through multiple sexual partners or street IV drug users and therefore usurps my parental authority to condemn such activity in my child. The acceptance of this vaccine promotes sexual promiscuity and immoral behavior in direct contradiction to the teachings of our faith.

"I believe that inherent in each individual is an innate intelligence, provided by God, which will protect the host environment and provide homeostasis." "Life and physical health are precious gifts entrusted to us by God. We must take reasonable care of them…" [2288 – Catechism of the Catholic Church 1994]

"The virtue of temperance disposes us to avoid every kind of excess: the abuse of ... medicine." [2290 – Catechism of the Catholic Church 1994]

"(Indicate rationale and attach statement from clergy or other authority.)"
You do not need to belong to a church or religious organization to claim religious exemption from vaccines.

Applicable law has been interpreted to mean that a religious belief is subject to protection even though no religious group espouses such beliefs or the fact that the religious group to which the individual professes to belong may not advocate or require such belief. Title VII of the Civil Rights Act of 1964 as amended Nov. 1, 1980; Part 1605.1-Guidelines on Discrimination Because of Religion.

Our legal rights are guaranteed by the free exercise clause of the First Amendment to the U.S. Constitution. Recent court decisions have upheld the rights of individuals seeking exemptions from immunizations based upon personal and religious reasons. On the U.S. Supreme Court level in Frazee V. Illinois Dept. of Security, 489 U.S. 829, it was found that a state may not deny an exemption simply because a person is not a member of a formal religious organization.