Violence Against Women Reauthorization Act of 2019 This bill modifies and reauthorizes through FY2025 programs and activities under the Violence Against Women Act that seek to prevent and respond to domestic violence, sexual assault, dating violence, and stalking. Among other things, the bill also authorizes new programs, makes changes to federal firearms laws, and establishes new protections to promote housing stability and economic security for victims of domestic violence, sexual assault, dating violence, and stalking.