The CDC recommended vaccination schedules for birth through 18 years of age appear below.

This image is courtesy of Learntherisk.org:

Perhaps of even greater interest is the following image from the CDC, displaying the contraindication schedule for vaccines. Note that vaccines are recommended for virtually everyone. Only a few very limited criteria qualify a person medically, per the CDC. These criteria include ‘immunocompromised’ which the CDC defines as ‘severe combined immune deficiency’; someone who is actively receiving chemotherapy (one must catch-up on vaccines immediately after chemotherapy is finished), or recently received an organ transplant. All other immunosuppressive conditions like autoimmunity, asthma, allergies, among others, are not contraindicated per the CDC.

https://www.cdc.gov/vaccines/schedules/hcp/imz/child-indications.html