Aimee's Law

No Second Chances for Murderers, Rapists, or Child Molesters Act of 1998 - Expresses the sense of the Congress that any individual convicted of: (1) murder should receive the death penalty or be imprisoned for life without the possibility of parole; and (2) rape or a dangerous sexual offense involving a child under age 14 should be imprisoned for life without the possibility of parole.

Requires the Attorney General to transfer the following amounts from Federal law enforcement assistance funds for a State that convicted a person of a first offense of murder, rape, or a dangerous sexual offense to a State that convicts that person for a subsequent such offense: (1) up to $100,000 for transfer to each victim of the subsequent offense; and (2) the cost of incarceration, prosecution, and apprehension of such person. Sets forth provisions regarding situations where a person has a prior conviction in more than one State.

Requires the United States Sentencing Commission to amend the Federal sentencing guidelines to provide that whoever is guilty of: (1) murder shall be punished by death or by life imprisonment; and (2) rape or a dangerous sexual offense shall be punished by life imprisonment.

Directs the Attorney General to collect and distribute data to the President, Members of Congress, State governments, and officials of localities and penal and other institutions participating in the Uniform Crime Reports program which includes: (1) the number of murders, rapes, and dangerous sexual offenses committed by persons previously convicted of one of these offenses; and (2) the percentage of cases in which a person convicted of murder, rape, or a dangerous sexual offense in one State commits a second offense in another State.