In some cases, the laws expand rights for immigrants, legal or otherwise. For example, California allows health care for all children regardless of their immigration status. In other instances, some states impose more restrictive measures, such as Idaho where an applicant for a driver's license must provide proof of U.S. citizenship or lawful permanent residency.
http://www.npr.org/sections/thetwo-way/2016/02/16/466989955/states-step-up-as-washington-stalls-on-immigration