Rearranging the letters of 'Health care system' gives:
Heal me heart cysts!
(by Paul Pan using Anagram Genius) (2007) (pending approval)
Other related anagrams without their own page:
"Nine major changes in new health care bill" -> "Oh, we can ban, reject his ill healing manner." (by Aronas Pinchas ) (2010) (pending approval)
"Obama's new health care reform plan to include GOP ideas" -> "America's problem - National help for wounded, each stage." (by Aronas Pinchas ) (2010) (pending approval)
"Bill Clinton urges Senate Dems to pass health care" -> "Still a strongest reluctance? Obama needs his help." (by Aronas Pinchas) (2009) (pending approval)